104704016400 has 135 divisors (see below), whose sum is σ = 363419408599. Its totient is φ = 27915893760.

The previous prime is 104704016383. The next prime is 104704016411. The reversal of 104704016400 is 4610407401.

The square root of 104704016400 is 323580.

It is a perfect power (a square), and thus also a powerful number.

104704016400 is a `hidden beast` number, since 10 + 4 + 7 + 0 + 4 + 0 + 1 + 640 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17815842576 + 86888173824 = 133476^2 + 294768^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19412104 + ... + 19417496.

Almost surely, 2^104704016400 is an apocalyptic number.

104704016400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

104704016400 is the 323580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104704016400

104704016400 is an abundant number, since it is smaller than the sum of its proper divisors (258715392199).

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

104704016400 is an frugal number, since it uses more digits than its factorization.

104704016400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10810 (or 5403 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 104704016400 in words is "one hundred four billion, seven hundred four million, sixteen thousand, four hundred".