10900
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 23870
- Proper Divisor Sum (Aliquot Sum)
- 12970
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4320
- Möbius Function
- 0
- Radical
- 1090
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 3
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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 68
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = (11*n+1)*(11*n+10).at n=9A001536
- Numbers that can be expressed as the product of two 3-digit numbers in at least one way.at n=25A033829
- Triangle associated with rooted trees with a degree constraint (A036765).at n=64A064580
- Expansion of e.g.f. I_0(2*x)^5 + 2*Sum_{k>=1} I_k(2*x)^5, where I_n(z) are modified Bessel functions of order n.at n=6A070190
- Central terms of pendular triangle A118345.at n=6A118346
- Convolution triangle, read by rows, where diagonals are successive self-convolutions of A118346.at n=34A118349
- Rectangular table, read by antidiagonals, where the g.f.s of row n, R(x,n), satisfy: R(x,n+1) = R(G(x),n) for n>=0 and x*R(x,0) = G(x) = x + x*G(G(x)) is the g.f. of A030266.at n=51A128325
- Row 3 of table A128325.at n=6A128328
- Numbers k such that k and k^2 use only the digits 0, 1, 2, 8 and 9.at n=58A136835
- Numbers k such that k and k^2 use only the digits 0, 1, 3, 8 and 9.at n=42A136852
- Numbers k such that k and k^2 use only the digits 0, 1, 4, 8 and 9.at n=36A136867
- Numbers k such that k and k^2 use only the digits 0, 1, 5, 8 and 9.at n=25A136874
- Numbers k such that k and k^2 use only the digits 0, 1, 6, 8 and 9.at n=26A136879
- Numbers k such that k and k^2 use only the digits 0, 1, 7, 8 and 9.at n=25A136880
- Numbers k such that k and k^2 use only the digits 0, 1, 8 and 9.at n=25A136881
- Eigentriangle of A055461 (square subsequences decrescendo).at n=43A143864
- a(n) = 6^n+5^n-1.at n=5A155633
- Totally multiplicative sequence with a(p) = a(p-1) + 9 for prime p.at n=19A166706
- a(n) = 109*n^2.at n=10A174339
- The hyper-Wiener index of a benzenoid consisting of a straight-line chain of n hexagons (s=2; see the Gutman et al. reference).at n=6A193390