108082800 has 180 divisors, whose sum is σ = 428759760. Its totient is φ = 24698880.

The previous prime is 108082783. The next prime is 108082829. The reversal of 108082800 is 8280801.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 23056 + ... + 27344.

Almost surely, 2^108082800 is an apocalyptic number.

108082800 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 108082800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214379880).

108082800 is an abundant number, since it is smaller than the sum of its proper divisors (320676960).

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

108082800 is a wasteful number, since it uses less digits than its factorization.

108082800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4320 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 108082800 is about 10396.2877990175. The cubic root of 108082800 is about 476.3419852497.

The spelling of 108082800 in words is "one hundred eight million, eighty-two thousand, eight hundred".