105110564 has 36 divisors (see below), whose sum is σ = 202526100. Its totient is φ = 47698560.

The previous prime is 105110561. The next prime is 105110581. The reversal of 105110564 is 465011501.

It can be written as a sum of positive squares in 6 ways, for example, as 18992164 + 86118400 = 4358^2 + 9280^2 .

It is a super-2 number, since 2×105110564² = 22096461328796192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105110561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39962 + ... + 42510.

It is an arithmetic number, because the mean of its divisors is an integer number (5625725).

Almost surely, 2^105110564 is an apocalyptic number.

It is an amenable number.

105110564 is a deficient number, since it is larger than the sum of its proper divisors (97415536).

105110564 is a wasteful number, since it uses less digits than its factorization.

105110564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640 (or 2625 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

The square root of 105110564 is about 10252.3443172769. The cubic root of 105110564 is about 471.9349295052.

The spelling of 105110564 in words is "one hundred five million, one hundred ten thousand, five hundred sixty-four".