104378400 has 432 divisors, whose sum is σ = 446846400. Its totient is φ = 22394880.

The previous prime is 104378387. The next prime is 104378401. The reversal of 104378400 is 4873401.

It is not an unprimeable number, because it can be changed into a prime (104378401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 957546 + ... + 957654.

Almost surely, 2^104378400 is an apocalyptic number.

104378400 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 104378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223423200).

104378400 is an abundant number, since it is smaller than the sum of its proper divisors (342468000).

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

104378400 is a wasteful number, since it uses less digits than its factorization.

104378400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 104378400 is about 10216.5747684828. The cubic root of 104378400 is about 470.8365965959.

The spelling of 104378400 in words is "one hundred four million, three hundred seventy-eight thousand, four hundred".