10506661564 has 48 divisors (see below), whose sum is σ = 21303475200. Its totient is φ = 4440810816.

The previous prime is 10506661559. The next prime is 10506661601. The reversal of 10506661564 is 46516660501.

It is a super-2 number, since 2×10506661564² (a number of 21 digits) 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 15 ways as a sum of consecutive naturals, for example, 2450967 + ... + 2455249.

It is an arithmetic number, because the mean of its divisors is an integer number (443822400).

Almost surely, 2^10506661564 is an apocalyptic number.

10506661564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10506661564 is an abundant number, since it is smaller than the sum of its proper divisors (10796813636).

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

10506661564 is a wasteful number, since it uses less digits than its factorization.

10506661564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5482 (or 5480 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The spelling of 10506661564 in words is "ten billion, five hundred six million, six hundred sixty-one thousand, five hundred sixty-four".