104365324800 has 600 divisors, whose sum is σ = 421424669952. Its totient is φ = 25297920000.

The previous prime is 104365324799. The next prime is 104365324829. The reversal of 104365324800 is 8423563401.

104365324800 is a `hidden beast` number, since 1 + 0 + 43 + 6 + 532 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11400225 + ... + 11409375.

Almost surely, 2^104365324800 is an apocalyptic number.

104365324800 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 104365324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210712334976).

104365324800 is an abundant number, since it is smaller than the sum of its proper divisors (317059345152).

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

104365324800 is an equidigital number, since it uses as much as digits as its factorization.

104365324800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9202 (or 9172 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 104365324800 in words is "one hundred four billion, three hundred sixty-five million, three hundred twenty-four thousand, eight hundred".