105620564 has 24 divisors (see below), whose sum is σ = 213185280. Its totient is φ = 44849376.

The previous prime is 105620527. The next prime is 105620579. The reversal of 105620564 is 465026501.

It is a super-2 number, since 2×105620564² = 22311407079356192, 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 7 ways as a sum of consecutive naturals, for example, 14252 + ... + 20355.

It is an arithmetic number, because the mean of its divisors is an integer number (8882720).

Almost surely, 2^105620564 is an apocalyptic number.

105620564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105620564 is an abundant number, since it is smaller than the sum of its proper divisors (107564716).

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

105620564 is a wasteful number, since it uses less digits than its factorization.

105620564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34727 (or 34725 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 105620564 is about 10277.1865799936. The cubic root of 105620564 is about 472.6969797291.

The spelling of 105620564 in words is "one hundred five million, six hundred twenty thousand, five hundred sixty-four".