105056601665656 has 32 divisors (see below), whose sum is σ = 203339753280000. Its totient is φ = 50832740711520.

The previous prime is 105056601665641. The next prime is 105056601665681. The reversal of 105056601665656 is 656566106650501.

It is a super-2 number, since 2×105056601665656² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 105056601665656.

It is a congruent number.

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, 6976651 + ... + 16086853.

It is an arithmetic number, because the mean of its divisors is an integer number (6354367290000).

Almost surely, 2^{105056601665656} is an apocalyptic number.

It is an amenable number.

105056601665656 is a deficient number, since it is larger than the sum of its proper divisors (98283151614344).

105056601665656 is a wasteful number, since it uses less digits than its factorization.

105056601665656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9156739 (or 9156735 counting only the distinct ones).

The product of its (nonzero) digits is 29160000, while the sum is 58.

The spelling of 105056601665656 in words is "one hundred five trillion, fifty-six billion, six hundred one million, six hundred sixty-five thousand, six hundred fifty-six".