108693900 has 288 divisors, whose sum is σ = 409973760. Its totient is φ = 24494400.

The previous prime is 108693841. The next prime is 108693919. The reversal of 108693900 is 9396801.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1530865 + ... + 1530935.

It is an arithmetic number, because the mean of its divisors is an integer number (1423520).

Almost surely, 2^108693900 is an apocalyptic number.

108693900 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 108693900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204986880).

108693900 is an abundant number, since it is smaller than the sum of its proper divisors (301279860).

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

108693900 is an equidigital number, since it uses as much as digits as its factorization.

108693900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 108693900 is about 10425.6366712062. The cubic root of 108693900 is about 477.2380442329.

The spelling of 108693900 in words is "one hundred eight million, six hundred ninety-three thousand, nine hundred".