10099
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10100
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10098
- Möbius Function
- -1
- Radical
- 10099
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 86
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1240
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers n such that n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2 + (n+4)^2 is palindromic.at n=4A027579
- 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=26A031597
- Smallest k>1 such that k(p-1)-1 is divisible by p^2, p=n-th prime.at n=25A039914
- Primes of the form n*phi(n)-1 where phi is the Euler function (in order of appearance).at n=41A046078
- a(n) is the least number with exactly n permutations of digits that are primes.at n=12A046893
- Sequence of 2 Pythagorean triangles, each with a leg and hypotenuse prime. The leg of the second triangle is the hypotenuse of the first.at n=34A048270
- Sequence of 3 Pythagorean triangles, each with a leg and hypotenuse prime. The hypotenuse of each triangle is the leg of the next triangle.at n=3A048295
- Primes whose decimal expansion is a concatenation of two or more consecutive decreasing numbers (no leading zeros allowed).at n=10A052088
- Primes formed by concatenating k with k-1.at n=10A052089
- Sum of composite numbers between prime p and nextprime(p) is palindromic.at n=18A054266
- Sum of composite numbers between prime p and nextprime(p) is palindromic with restriction 'p + 1 <> sum'.at n=12A054267
- Discriminants of imaginary quadratic fields with class number 25 (negated).at n=17A056987
- Primes in which neighboring digits differ at most by 1.at n=42A068148
- Duplicate of A052089.at n=10A068699
- Centered 18-gonal numbers.at n=33A069131
- a(n) = A077727(n)/n.at n=19A077728
- Nearest integer to Sum_{k=0..n} binomial(n,k)/2^(k*(k-1)/2).at n=51A079492
- Representative lunar primes.at n=41A088574
- Primes of the form p^2 - p - 1, where p is prime.at n=12A091568
- Primes of the form 100n - 1.at n=28A095995