109982800 has 30 divisors (see below), whose sum is σ = 264234638. Its totient is φ = 43992960.

The previous prime is 109982779. The next prime is 109982837. The reversal of 109982800 is 8289901.

It can be written as a sum of positive squares in 3 ways, for example, as 16744464 + 93238336 = 4092^2 + 9656^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 109982800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 137079 + ... + 137878.

Almost surely, 2^109982800 is an apocalyptic number.

109982800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

109982800 is an abundant number, since it is smaller than the sum of its proper divisors (154251838).

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

109982800 is a wasteful number, since it uses less digits than its factorization.

109982800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274975 (or 274964 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The square root of 109982800 is about 10487.2684718186. The cubic root of 109982800 is about 479.1170109434.

The spelling of 109982800 in words is "one hundred nine million, nine hundred eighty-two thousand, eight hundred".