104400 has 90 divisors (see below), whose sum is σ = 374790. Its totient is φ = 26880.

The previous prime is 104399. The next prime is 104417. The reversal of 104400 is 4401.

It can be written as a sum of positive squares in 3 ways, for example, as 7056 + 97344 = 84^2 + 312^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3586 + ... + 3614.

2¹⁰⁴⁴⁰⁰ is an apocalyptic number.

104400 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 104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187395).

104400 is an abundant number, since it is smaller than the sum of its proper divisors (270390).

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

104400 is a wasteful number, since it uses less digits than its factorization.

104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 104400 is about 323.1098884281. The cubic root of 104400 is about 47.0869072565.

Adding to 104400 its reverse (4401), we get a palindrome (108801).

Subtracting from 104400 its reverse (4401), we obtain a palindrome (99999).

The spelling of 104400 in words is "one hundred four thousand, four hundred", and thus it is an iban number.