107988608 has 128 divisors (see below), whose sum is σ = 270520320. Its totient is φ = 41803776.

The previous prime is 107988577. The next prime is 107988619. The reversal of 107988608 is 806889701.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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, 850241 + ... + 850367.

It is an arithmetic number, because the mean of its divisors is an integer number (2113440).

Almost surely, 2^107988608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107988608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135260160).

107988608 is an abundant number, since it is smaller than the sum of its proper divisors (162531712).

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

107988608 is a wasteful number, since it uses less digits than its factorization.

107988608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 47.

The square root of 107988608 is about 10391.7567331034. The cubic root of 107988608 is about 476.2035708602.

The spelling of 107988608 in words is "one hundred seven million, nine hundred eighty-eight thousand, six hundred eight".