104857600000 has 156 divisors (see below), whose sum is σ = 262127218878. Its totient is φ = 41943040000.

The previous prime is 104857599947. The next prime is 104857600027. The reversal of 104857600000 is 6758401.

It is a perfect power (a 5-th power), and thus also a powerful number.

104857600000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 150994944 + 104706605056 = 12288^2 + 323584^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20971519998 + ... + 20971520002.

Almost surely, 2^104857600000 is an apocalyptic number.

104857600000 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 104857600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131063609439).

104857600000 is an abundant number, since it is smaller than the sum of its proper divisors (157269618878).

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

104857600000 is an frugal number, since it uses more digits than its factorization.

104857600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The spelling of 104857600000 in words is "one hundred four billion, eight hundred fifty-seven million, six hundred thousand".