100
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 1
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 9
- Divisor Sum
- 217
- Proper Divisor Sum (Aliquot Sum)
- 117
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 40
- Möbius Function
- 0
- Radical
- 10
- Omega Function (Ω)
- 4
- 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
- yes
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 25
- Smith Number
- no
Classification
- Natural
- yes
- Even
- yes
- Odd
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- yes
- Carmichael Number
- no
Names
- German
- einshundert· ordinal: einshundertste
- English
- one hundred· ordinal: one hundredth
- Spanish
- cien· ordinal: 100º
- French
- cent· ordinal: centième
- Italian
- cento· ordinal: 100º
- Latin
- centum· ordinal: 100.
- Portuguese
- cem· ordinal: 100º
Appears in sequences
- Generalized tangent numbers d(n,1).at n=36A000061
- -1 + number of partitions of n.at n=13A000065
- Odious numbers: numbers with an odd number of 1's in their binary expansion.at n=50A000069
- Positive zeros of Bessel function of order 0 rounded to nearest integer.at n=31A000134
- Number of partitions into non-integral powers.at n=7A000148
- Lower Wythoff sequence (a Beatty sequence): a(n) = floor(n*phi), where phi = (1+sqrt(5))/2 = A001622.at n=61A000201
- a(8i+j) = 13i + a(j), where 1<=j<=8.at n=61A000202
- Crossing number of complete graph with n nodes.at n=11A000241
- Number of partitions into non-integral powers.at n=4A000339
- 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=53A000379
- Numbers that are the sum of 2 nonzero squares.at n=34A000404
- n written in base where place values are positive cubes.at n=27A000433
- Numbers written in base of triangular numbers.at n=5A000462
- n followed by n^2.at n=19A000463
- Sum of first n cubes; or n-th triangular number squared.at n=4A000537
- Numbers that are the sum of 2 squares but not sum of 3 nonzero squares.at n=18A000549
- A Beatty sequence: [ n(e+1) ].at n=26A000572
- Number of nonnegative solutions of x^2 + y^2 = z in first n shells.at n=48A000592
- Total number of 1's in binary expansions of 0, ..., n.at n=39A000788
- Number of partitions of n into relatively prime parts. Also aperiodic partitions.at n=13A000837