104903175168 has 440 divisors, whose sum is σ = 356669280000. Its totient is φ = 30400634880.

The previous prime is 104903175161. The next prime is 104903175173. The reversal of 104903175168 is 861571309401.

104903175168 is a `hidden beast` number, since 1 + 0 + 490 + 31 + 75 + 1 + 68 = 666.

It is a super-2 number, since 2×104903175168² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104903175161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20982333 + ... + 20987331.

It is an arithmetic number, because the mean of its divisors is an integer number (810612000).

Almost surely, 2^104903175168 is an apocalyptic number.

104903175168 is a gapful number since it is divisible by the number (18) 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 104903175168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178334640000).

104903175168 is an abundant number, since it is smaller than the sum of its proper divisors (251766104832).

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

104903175168 is a wasteful number, since it uses less digits than its factorization.

104903175168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5065 (or 5038 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 104903175168 in words is "one hundred four billion, nine hundred three million, one hundred seventy-five thousand, one hundred sixty-eight".