10164167104 has 112 divisors (see below), whose sum is σ = 24861731328. Its totient is φ = 4014885888.

The previous prime is 10164167071. The next prime is 10164167113. The reversal of 10164167104 is 40176146101.

It is a tau number, because it is divible by the number of its divisors (112).

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, 7122039 + ... + 7123465.

It is an arithmetic number, because the mean of its divisors is an integer number (221979744).

Almost surely, 2^10164167104 is an apocalyptic number.

10164167104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10164167104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12430865664).

10164167104 is an abundant number, since it is smaller than the sum of its proper divisors (14697564224).

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

10164167104 is a wasteful number, since it uses less digits than its factorization.

10164167104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682 (or 2672 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The spelling of 10164167104 in words is "ten billion, one hundred sixty-four million, one hundred sixty-seven thousand, one hundred four".