104674997966400 has 189 divisors, whose sum is σ = 372044021394721. Its totient is φ = 27913005396480.

The previous prime is 104674997966347. The next prime is 104674997966467. The reversal of 104674997966400 is 4669799476401.

The square root of 104674997966400 is 10231080.

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

104674997966400 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 7 + 4 + 99 + 79 + 66 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37682999267904 + 66991998698496 = 6138648^2 + 8184864^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1227686971 + ... + 1227772229.

Almost surely, 2^{104674997966400} is an apocalyptic number.

104674997966400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

104674997966400 is the 10231080-th square number.

It is an amenable number.

104674997966400 is an abundant number, since it is smaller than the sum of its proper divisors (267369023428321).

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

104674997966400 is an frugal number, since it uses more digits than its factorization.

104674997966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170546 (or 85269 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 72.

The spelling of 104674997966400 in words is "one hundred four trillion, six hundred seventy-four billion, nine hundred ninety-seven million, nine hundred sixty-six thousand, four hundred".