104657745920 has 384 divisors, whose sum is σ = 319125381120. Its totient is φ = 32045137920.

The previous prime is 104657745901. The next prime is 104657746001. The reversal of 104657745920 is 29547756401.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28885229 + ... + 28888851.

It is an arithmetic number, because the mean of its divisors is an integer number (831055680).

Almost surely, 2^104657745920 is an apocalyptic number.

104657745920 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 104657745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159562690560).

104657745920 is an abundant number, since it is smaller than the sum of its proper divisors (214467635200).

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

104657745920 is a wasteful number, since it uses less digits than its factorization.

104657745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3701 (or 3681 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 50.

The spelling of 104657745920 in words is "one hundred four billion, six hundred fifty-seven million, seven hundred forty-five thousand, nine hundred twenty".