108400 has 30 divisors (see below), whose sum is σ = 261392. Its totient is φ = 43200.

The previous prime is 108379. The next prime is 108401. The reversal of 108400 is 4801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 265 + ... + 535.

2¹⁰⁸⁴⁰⁰ is an apocalyptic number.

108400 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 108400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130696).

108400 is an abundant number, since it is smaller than the sum of its proper divisors (152992).

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

108400 is a wasteful number, since it uses less digits than its factorization.

108400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 108400 is about 329.2415526631. The cubic root of 108400 is about 47.6807517561.

The spelling of 108400 in words is "one hundred eight thousand, four hundred".