105010000056 has 48 divisors (see below), whose sum is σ = 306279169560. Its totient is φ = 32310768960.

The previous prime is 105009999977. The next prime is 105010000063. The reversal of 105010000056 is 650000010501.

It is a super-2 number, since 2×105010000056² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 105009999993 and 105010000038.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56094150 + ... + 56096021.

Almost surely, 2^105010000056 is an apocalyptic number.

It is an amenable number.

105010000056 is an abundant number, since it is smaller than the sum of its proper divisors (201269169504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105010000056 is a wasteful number, since it uses less digits than its factorization.

105010000056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112190196 (or 112190189 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 105010000056 its reverse (650000010501), we get a palindrome (755010010557).

The spelling of 105010000056 in words is "one hundred five billion, ten million, fifty-six", and thus it is an aban number.