106
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 162
- Proper Divisor Sum (Aliquot Sum)
- 56
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 52
- Möbius Function
- 1
- Radical
- 106
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 12
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- einshundertsechs· ordinal: einshundertsechsste
- English
- one hundred six· ordinal: one hundred sixth
- Spanish
- ciento seis· ordinal: 106º
- French
- cent six· ordinal: cent sixième
- Italian
- centosei· ordinal: 106º
- Latin
- centum sex· ordinal: 106.
- Portuguese
- cento e seis· ordinal: 106º
Appears in sequences
- Number of trees with n unlabeled nodes.at n=10A000055
- Numbers k such that k^4 + 1 is prime.at n=18A000068
- Denumerants: Expansion of 1/((1-x)*(1-x^2)*(1-x^5)).at n=42A000115
- Central polygonal numbers (the Lazy Caterer's sequence): n(n+1)/2 + 1; or, maximal number of pieces formed when slicing a pancake with n cuts.at n=14A000124
- Positive zeros of Bessel function of order 0 rounded to nearest integer.at n=33A000134
- Lower Wythoff sequence (a Beatty sequence): a(n) = floor(n*phi), where phi = (1+sqrt(5))/2 = A001622.at n=65A000201
- A Beatty sequence: floor(n*(e-1)).at n=61A000210
- Numbers where total number of 1-bits in the exponents of their prime factorization is even; a 2-way classification of integers: complement of A000028.at n=54A000379
- Numbers that are the sum of 2 nonzero squares.at n=37A000404
- Numbers that are the sum of 2 but no fewer nonzero squares.at n=35A000415
- n written in base where place values are positive cubes.at n=33A000433
- 1 together with products of 2 or more distinct primes.at n=38A000469
- Number of nonnegative solutions of x^2 + y^2 = z in first n shells.at n=51A000592
- Number of nonnegative solutions to x^2 + y^2 <= n^2.at n=11A000603
- Number of degree-n even permutations of order dividing 2.at n=7A000704
- Number of switching networks (see Harrison reference for precise definition).at n=1A000845
- Numbers beginning with a vowel in English.at n=20A000852
- Numbers beginning with letter 'o' in English.at n=7A000865
- Number of solutions to the rook problem on an n X n board having a certain symmetry group (see Robinson for details).at n=7A000900
- Sum of proper divisors (or aliquot parts) of n: sum of divisors of n that are less than n.at n=79A001065