105072564 has 48 divisors (see below), whose sum is σ = 252663488. Its totient is φ = 33965568.

The previous prime is 105072557. The next prime is 105072577. The reversal of 105072564 is 465270501.

It is a super-2 number, since 2×105072564² = 22080487411068192, 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 15 ways as a sum of consecutive naturals, for example, 80364 + ... + 81660.

Almost surely, 2^105072564 is an apocalyptic number.

It is an amenable number.

105072564 is an abundant number, since it is smaller than the sum of its proper divisors (147590924).

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

105072564 is a wasteful number, since it uses less digits than its factorization.

105072564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 105072564 is about 10250.4909150733. The cubic root of 105072564 is about 471.8780507032.

The spelling of 105072564 in words is "one hundred five million, seventy-two thousand, five hundred sixty-four".