105677564 has 12 divisors (see below), whose sum is σ = 185528784. Its totient is φ = 52669344.

The previous prime is 105677521. The next prime is 105677581. The reversal of 105677564 is 465776501.

It is a super-2 number, since 2×105677564² = 22335495065948192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40952 + ... + 43455.

It is an arithmetic number, because the mean of its divisors is an integer number (15460732).

Almost surely, 2^105677564 is an apocalyptic number.

It is an amenable number.

105677564 is a deficient number, since it is larger than the sum of its proper divisors (79851220).

105677564 is a wasteful number, since it uses less digits than its factorization.

105677564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84724 (or 84722 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 41.

The square root of 105677564 is about 10279.9593384410. The cubic root of 105677564 is about 472.7819975242.

The spelling of 105677564 in words is "one hundred five million, six hundred seventy-seven thousand, five hundred sixty-four".