10564520106 has 32 divisors (see below), whose sum is σ = 25418396160. Its totient is φ = 2859569136.

The previous prime is 10564520023. The next prime is 10564520111. The reversal of 10564520106 is 60102546501.

10564520106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×10564520106⁴ (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6618576 + ... + 6620171.

It is an arithmetic number, because the mean of its divisors is an integer number (794324880).

Almost surely, 2^10564520106 is an apocalyptic number.

10564520106 is an abundant number, since it is smaller than the sum of its proper divisors (14853876054).

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

10564520106 is a wasteful number, since it uses less digits than its factorization.

10564520106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13238778.

The product of its (nonzero) digits is 7200, while the sum is 30.

It can be divided in two parts, 105645 and 20106, that added together give a triangular number (125751 = T₅₀₁).

The spelling of 10564520106 in words is "ten billion, five hundred sixty-four million, five hundred twenty thousand, one hundred six".