10164264165 has 24 divisors (see below), whose sum is σ = 19219700448. Its totient is φ = 4928127840.

The previous prime is 10164264139. The next prime is 10164264197. The reversal of 10164264165 is 56146246101.

10164264165 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 4 + 2 + 641 + 6 + 5 = 666.

It is not a de Polignac number, because 10164264165 - 2⁶ = 10164264101 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10266439 + ... + 10267428.

It is an arithmetic number, because the mean of its divisors is an integer number (800820852).

Almost surely, 2^10164264165 is an apocalyptic number.

10164264165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10164264165 is a deficient number, since it is larger than the sum of its proper divisors (9055436283).

10164264165 is a wasteful number, since it uses less digits than its factorization.

10164264165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20533889 (or 20533886 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10164264165 in words is "ten billion, one hundred sixty-four million, two hundred sixty-four thousand, one hundred sixty-five".