104057724160 has 288 divisors, whose sum is σ = 276478634880. Its totient is φ = 37285822464.

The previous prime is 104057724143. The next prime is 104057724161. The reversal of 104057724160 is 61427750401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104057724161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81485442 + ... + 81486718.

It is an arithmetic number, because the mean of its divisors is an integer number (959995260).

Almost surely, 2^104057724160 is an apocalyptic number.

104057724160 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 104057724160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138239317440).

104057724160 is an abundant number, since it is smaller than the sum of its proper divisors (172420910720).

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

104057724160 is a wasteful number, since it uses less digits than its factorization.

104057724160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The spelling of 104057724160 in words is "one hundred four billion, fifty-seven million, seven hundred twenty-four thousand, one hundred sixty".