105656564 has 48 divisors (see below), whose sum is σ = 215405568. Its totient is φ = 44901888.

The previous prime is 105656557. The next prime is 105656597. The reversal of 105656564 is 465656501.

It is a super-2 number, since 2×105656564² = 22326619032572192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40277 + ... + 42819.

It is an arithmetic number, because the mean of its divisors is an integer number (4487616).

Almost surely, 2^105656564 is an apocalyptic number.

It is an amenable number.

105656564 is an abundant number, since it is smaller than the sum of its proper divisors (109749004).

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

105656564 is a wasteful number, since it uses less digits than its factorization.

105656564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2624 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 38.

The square root of 105656564 is about 10278.9378828749. The cubic root of 105656564 is about 472.7506787362.

The spelling of 105656564 in words is "one hundred five million, six hundred fifty-six thousand, five hundred sixty-four".