107983536 has 80 divisors (see below), whose sum is σ = 295814400. Its totient is φ = 33848064.

The previous prime is 107983529. The next prime is 107983549. The reversal of 107983536 is 635389701.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151950 + ... + 152658.

It is an arithmetic number, because the mean of its divisors is an integer number (3697680).

Almost surely, 2^107983536 is an apocalyptic number.

107983536 is a gapful number since it is divisible by the number (16) 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 107983536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147907200).

107983536 is an abundant number, since it is smaller than the sum of its proper divisors (187830864).

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

107983536 is a wasteful number, since it uses less digits than its factorization.

107983536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 107983536 is about 10391.5126906529. The cubic root of 107983536 is about 476.1961153135.

The spelling of 107983536 in words is "one hundred seven million, nine hundred eighty-three thousand, five hundred thirty-six".