104624204800 has 264 divisors, whose sum is σ = 273448904400. Its totient is φ = 39629291520.

The previous prime is 104624204749. The next prime is 104624204851. The reversal of 104624204800 is 8402426401.

It is an interprime number because it is at equal distance from previous prime (104624204749) and next prime (104624204851).

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 23 ways as a sum of consecutive naturals, for example, 39345871 + ... + 39348529.

Almost surely, 2^104624204800 is an apocalyptic number.

104624204800 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 104624204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136724452200).

104624204800 is an abundant number, since it is smaller than the sum of its proper divisors (168824699600).

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

104624204800 is a wasteful number, since it uses less digits than its factorization.

104624204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The spelling of 104624204800 in words is "one hundred four billion, six hundred twenty-four million, two hundred four thousand, eight hundred".