107981832 has 64 divisors (see below), whose sum is σ = 311454720. Its totient is φ = 30558528.

The previous prime is 107981821. The next prime is 107981833. The reversal of 107981832 is 238189701.

It is not an unprimeable number, because it can be changed into a prime (107981833) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14973 + ... + 20979.

It is an arithmetic number, because the mean of its divisors is an integer number (4866480).

Almost surely, 2^107981832 is an apocalyptic number.

107981832 is a gapful number since it is divisible by the number (12) 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 107981832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155727360).

107981832 is an abundant number, since it is smaller than the sum of its proper divisors (203472888).

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

107981832 is a wasteful number, since it uses less digits than its factorization.

107981832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6130 (or 6126 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 107981832 is about 10391.4307003415. The cubic root of 107981832 is about 476.1936104797.

The spelling of 107981832 in words is "one hundred seven million, nine hundred eighty-one thousand, eight hundred thirty-two".