104412996900 has 81 divisors (see below), whose sum is σ = 327307125873. Its totient is φ = 27840880800.

The previous prime is 104412996869. The next prime is 104412996923. The reversal of 104412996900 is 9699214401.

The square root of 104412996900 is 323130.

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

104412996900 is a `hidden beast` number, since 10 + 441 + 29 + 96 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37588678884 + 66824318016 = 193878^2 + 258504^2 .

It is a super-2 number, since 2×104412996900² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 9688515 + ... + 9699285.

Almost surely, 2^104412996900 is an apocalyptic number.

104412996900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

104412996900 is the 323130-th square number.

It is an amenable number.

104412996900 is an abundant number, since it is smaller than the sum of its proper divisors (222894128973).

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

104412996900 is an equidigital number, since it uses as much as digits as its factorization.

104412996900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21562 (or 10781 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 104412996900 in words is "one hundred four billion, four hundred twelve million, nine hundred ninety-six thousand, nine hundred".