104105164800 has 1440 divisors, whose sum is σ = 455068096000. Its totient is φ = 20808990720.

The previous prime is 104105164783. The next prime is 104105164831. The reversal of 104105164800 is 8461501401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5479219191 + ... + 5479219209.

Almost surely, 2^104105164800 is an apocalyptic number.

104105164800 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 104105164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227534048000).

104105164800 is an abundant number, since it is smaller than the sum of its proper divisors (350962931200).

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

104105164800 is an equidigital number, since it uses as much as digits as its factorization.

104105164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The spelling of 104105164800 in words is "one hundred four billion, one hundred five million, one hundred sixty-four thousand, eight hundred".