105682564 has 12 divisors (see below), whose sum is σ = 199171084. Its totient is φ = 48776544.

The previous prime is 105682559. The next prime is 105682573. The reversal of 105682564 is 465286501.

It can be written as a sum of positive squares in 2 ways, for example, as 5522500 + 100160064 = 2350^2 + 10008^2 .

It is a super-2 number, since 2×105682564² = 22337608667228192, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1016127 + ... + 1016230.

Almost surely, 2^105682564 is an apocalyptic number.

It is an amenable number.

105682564 is a deficient number, since it is larger than the sum of its proper divisors (93488520).

105682564 is a wasteful number, since it uses less digits than its factorization.

105682564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032374 (or 2032372 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 105682564 is about 10280.2025271879. The cubic root of 105682564 is about 472.7894537669.

The spelling of 105682564 in words is "one hundred five million, six hundred eighty-two thousand, five hundred sixty-four".