104128800 has 144 divisors (see below), whose sum is σ = 347165280. Its totient is φ = 27095040.

The previous prime is 104128793. The next prime is 104128811. The reversal of 104128800 is 8821401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102696 + ... + 103704.

It is an arithmetic number, because the mean of its divisors is an integer number (2410870).

Almost surely, 2^104128800 is an apocalyptic number.

104128800 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 104128800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173582640).

104128800 is an abundant number, since it is smaller than the sum of its proper divisors (243036480).

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

104128800 is a wasteful number, since it uses less digits than its factorization.

104128800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 104128800 is about 10204.3520127444. The cubic root of 104128800 is about 470.4609932943.

The spelling of 104128800 in words is "one hundred four million, one hundred twenty-eight thousand, eight hundred".