108200 has 24 divisors (see below), whose sum is σ = 252030. Its totient is φ = 43200.

The previous prime is 108193. The next prime is 108203. The reversal of 108200 is 2801.

It can be written as a sum of positive squares in 3 ways, for example, as 75076 + 33124 = 274^2 + 182^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 108200.

It is not an unprimeable number, because it can be changed into a prime (108203) 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, 71 + ... + 470.

2¹⁰⁸²⁰⁰ is an apocalyptic number.

108200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

108200 is an abundant number, since it is smaller than the sum of its proper divisors (143830).

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

108200 is a wasteful number, since it uses less digits than its factorization.

108200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 108200 is about 328.9376840680. The cubic root of 108200 is about 47.6514097476.

The spelling of 108200 in words is "one hundred eight thousand, two hundred".