104358400 has 120 divisors (see below), whose sum is σ = 267911424. Its totient is φ = 40243200.

The previous prime is 104358367. The next prime is 104358403. The reversal of 104358400 is 4853401.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (104358403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 396669 + ... + 396931.

Almost surely, 2^104358400 is an apocalyptic number.

104358400 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 104358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133955712).

104358400 is an abundant number, since it is smaller than the sum of its proper divisors (163553024).

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

104358400 is an equidigital number, since it uses as much as digits as its factorization.

104358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 104358400 is about 10215.5959199647. The cubic root of 104358400 is about 470.8065222592.

The spelling of 104358400 in words is "one hundred four million, three hundred fifty-eight thousand, four hundred".