10477160164 has 27 divisors (see below), whose sum is σ = 18662776041. Its totient is φ = 5146560240.

The previous prime is 10477160149. The next prime is 10477160269. The reversal of 10477160164 is 46106177401.

The square root of 10477160164 is 102358.

It is a perfect power (a square), and thus also a powerful number.

10477160164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 340697764 + 10136462400 = 18458^2 + 100680^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 12487257 + ... + 12488095.

Almost surely, 2^10477160164 is an apocalyptic number.

10477160164 is the 102358-th square number.

It is an amenable number.

10477160164 is a deficient number, since it is larger than the sum of its proper divisors (8185615877).

10477160164 is an frugal number, since it uses more digits than its factorization.

10477160164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

Multiplying 10477160164 by its product of nonzero digits (28224), we get a square (295707368468736 = 17196144²).

The spelling of 10477160164 in words is "ten billion, four hundred seventy-seven million, one hundred sixty thousand, one hundred sixty-four".