10164772671 has 16 divisors (see below), whose sum is σ = 13642992000. Its totient is φ = 6731681888.

The previous prime is 10164772649. The next prime is 10164772691. The reversal of 10164772671 is 17627746101.

It is a cyclic number.

It is not a de Polignac number, because 10164772671 - 2⁷ = 10164772543 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10164772691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261880 + ... + 298178.

It is an arithmetic number, because the mean of its divisors is an integer number (852687000).

Almost surely, 2^10164772671 is an apocalyptic number.

10164772671 is a deficient number, since it is larger than the sum of its proper divisors (3478219329).

10164772671 is a wasteful number, since it uses less digits than its factorization.

10164772671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36918.

The product of its (nonzero) digits is 98784, while the sum is 42.

The spelling of 10164772671 in words is "ten billion, one hundred sixty-four million, seven hundred seventy-two thousand, six hundred seventy-one".