104384400 has 120 divisors (see below), whose sum is σ = 343561344. Its totient is φ = 27072000.

The previous prime is 104384389. The next prime is 104384417. The reversal of 104384400 is 4483401.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×104384400² = 21792205926720000, which contains 22 as substring.

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, 43225 + ... + 45575.

Almost surely, 2^104384400 is an apocalyptic number.

104384400 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 104384400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171780672).

104384400 is an abundant number, since it is smaller than the sum of its proper divisors (239176944).

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

104384400 is a wasteful number, since it uses less digits than its factorization.

104384400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2409 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 104384400 is about 10216.8684047510. The cubic root of 104384400 is about 470.8456181478.

Subtracting from 104384400 its reverse (4483401), we obtain a palindrome (99900999).

The spelling of 104384400 in words is "one hundred four million, three hundred eighty-four thousand, four hundred".