108839200 has 72 divisors (see below), whose sum is σ = 272959092. Its totient is φ = 42347520.

The previous prime is 108839183. The next prime is 108839207. The reversal of 108839200 is 2938801.

It can be written as a sum of positive squares in 6 ways, for example, as 80066704 + 28772496 = 8948^2 + 5364^2 .

It is not an unprimeable number, because it can be changed into a prime (108839207) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 27762 + ... + 31438.

Almost surely, 2^108839200 is an apocalyptic number.

108839200 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 108839200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136479546).

108839200 is an abundant number, since it is smaller than the sum of its proper divisors (164119892).

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

108839200 is a wasteful number, since it uses less digits than its factorization.

108839200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3734 (or 3721 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 108839200 is about 10432.6027433235. The cubic root of 108839200 is about 477.4506038831.

The spelling of 108839200 in words is "one hundred eight million, eight hundred thirty-nine thousand, two hundred".