107988160 has 168 divisors, whose sum is σ = 306470304. Its totient is φ = 36126720.

The previous prime is 107988143. The next prime is 107988161. The reversal of 107988160 is 61889701.

It is a super-2 number, since 2×107988160² = 23322885400371200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (107988161) 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 23 ways as a sum of consecutive naturals, for example, 1113232 + ... + 1113328.

It is an arithmetic number, because the mean of its divisors is an integer number (1824228).

Almost surely, 2^107988160 is an apocalyptic number.

107988160 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 107988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153235152).

107988160 is an abundant number, since it is smaller than the sum of its proper divisors (198482144).

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

107988160 is an equidigital number, since it uses as much as digits as its factorization.

107988160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 40.

The square root of 107988160 is about 10391.7351775341. The cubic root of 107988160 is about 476.2029123355.

The spelling of 107988160 in words is "one hundred seven million, nine hundred eighty-eight thousand, one hundred sixty".