10107
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 14612
- Proper Divisor Sum (Aliquot Sum)
- 4505
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6732
- Möbius Function
- 0
- Radical
- 3369
- Omega Function (Ω)
- 3
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 86
- Smith Number
- no
- Vampire Number
- 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
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 99.at n=28A031597
- Numbers n such that n and n+1 are differences between 2 positive cubes in at least one way.at n=12A038594
- a(n) = (n+3)^3 - n^3.at n=31A038865
- Numbers whose base-10 representation has exactly 5 runs.at n=6A043641
- Interprimes which are of the form s*prime, s=9.at n=30A075284
- Number of binary words of length n containing at least one subword 100001 and no subwords 10^{i}1 with i<4.at n=33A143284
- a(n) = 361*n - 1.at n=27A158308
- a(n) = 28*n^2 - 1.at n=18A158554
- a(n) = Sum_{k=1..n^2} d(k), d(k) = number of divisors of k (A000005).at n=36A175346
- Number of 2 X 2 nonsingular 0..n matrices with a(1,1) <= a(1,2) <= a(2,1) <= a(2,2).at n=19A183763
- Numbers which may represent a date in "condensed European notation" DDMMYY.at n=7A213182
- Numbers which may represent a date in "condensed American notation" MMDDYY.at n=7A213184
- Numbers with exactly 12 nonprime substrings (substrings with leading zeros are considered to be nonprime).at n=7A213319
- Expansion of G(1) where G(k) = 1 + q^k / ( 1 - q^k * G(k+2) ).at n=27A238434
- a(n) = prime(n)^3 mod (n^2 + prime(n)^2).at n=28A243769
- Expansion of Product_{k>=1} 1/(1-x^(k+5))^k.at n=36A263361
- Indices of records in A361321.at n=38A361326