10104166160 has 80 divisors (see below), whose sum is σ = 25738352640. Its totient is φ = 3658398720.

The previous prime is 10104166147. The next prime is 10104166169. The reversal of 10104166160 is 6166140101.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (10104166169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180401 + ... + 229679.

It is an arithmetic number, because the mean of its divisors is an integer number (321729408).

Almost surely, 2^10104166160 is an apocalyptic number.

10104166160 is a gapful number since it is divisible by the number (10) 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 10104166160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12869176320).

10104166160 is an abundant number, since it is smaller than the sum of its proper divisors (15634186480).

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

10104166160 is a wasteful number, since it uses less digits than its factorization.

10104166160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49536 (or 49530 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 10104166160 in words is "ten billion, one hundred four million, one hundred sixty-six thousand, one hundred sixty".