108268800 has 108 divisors (see below), whose sum is σ = 357372960. Its totient is φ = 28866560.

The previous prime is 108268793. The next prime is 108268807. The reversal of 108268800 is 8862801.

It is an interprime number because it is at equal distance from previous prime (108268793) and next prime (108268807).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108268807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16381 + ... + 22019.

Almost surely, 2^108268800 is an apocalyptic number.

108268800 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 108268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178686480).

108268800 is an abundant number, since it is smaller than the sum of its proper divisors (249104160).

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

108268800 is an equidigital number, since it uses as much as digits as its factorization.

108268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5668 (or 5649 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 108268800 is about 10405.2294544618. The cubic root of 108268800 is about 476.6150747515.

The spelling of 108268800 in words is "one hundred eight million, two hundred sixty-eight thousand, eight hundred".