108084900 has 144 divisors (see below), whose sum is σ = 389975040. Its totient is φ = 22454400.

The previous prime is 108084883. The next prime is 108084919. The reversal of 108084900 is 9480801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20761 + ... + 25439.

It is an arithmetic number, because the mean of its divisors is an integer number (2708160).

Almost surely, 2^108084900 is an apocalyptic number.

108084900 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 108084900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194987520).

108084900 is an abundant number, since it is smaller than the sum of its proper divisors (281890140).

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

108084900 is a wasteful number, since it uses less digits than its factorization.

108084900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4714 (or 4707 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 108084900 is about 10396.3887961157. The cubic root of 108084900 is about 476.3450702663.

The spelling of 108084900 in words is "one hundred eight million, eighty-four thousand, nine hundred".