104174400 has 168 divisors, whose sum is σ = 373038624. Its totient is φ = 25241600.

The previous prime is 104174341. The next prime is 104174401. The reversal of 104174400 is 4471401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104174401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51814 + ... + 53786.

It is an arithmetic number, because the mean of its divisors is an integer number (2220468).

Almost surely, 2^104174400 is an apocalyptic number.

104174400 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 104174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186519312).

104174400 is an abundant number, since it is smaller than the sum of its proper divisors (268864224).

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

104174400 is a wasteful number, since it uses less digits than its factorization.

104174400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 104174400 is about 10206.5861089788. The cubic root of 104174400 is about 470.5296579048.

The spelling of 104174400 in words is "one hundred four million, one hundred seventy-four thousand, four hundred".