105656515656 has 32 divisors (see below), whose sum is σ = 265616949600. Its totient is φ = 35022083840.

The previous prime is 105656515631. The next prime is 105656515661. The reversal of 105656515656 is 656515656501.

It is a super-2 number, since 2×105656515656² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105656515599 and 105656515608.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12292785 + ... + 12301376.

It is an arithmetic number, because the mean of its divisors is an integer number (8300529675).

Almost surely, 2^105656515656 is an apocalyptic number.

It is an amenable number.

105656515656 is an abundant number, since it is smaller than the sum of its proper divisors (159960433944).

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

105656515656 is a wasteful number, since it uses less digits than its factorization.

105656515656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24594349 (or 24594345 counting only the distinct ones).

The product of its (nonzero) digits is 4050000, while the sum is 51.

The spelling of 105656515656 in words is "one hundred five billion, six hundred fifty-six million, five hundred fifteen thousand, six hundred fifty-six".