107992008 has 64 divisors (see below), whose sum is σ = 301276800. Its totient is φ = 35841600.

The previous prime is 107991967. The next prime is 107992043. The reversal of 107992008 is 800299701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 55858 + ... + 57758.

It is an arithmetic number, because the mean of its divisors is an integer number (4707450).

Almost surely, 2^107992008 is an apocalyptic number.

107992008 is a gapful number since it is divisible by the number (18) 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 107992008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150638400).

107992008 is an abundant number, since it is smaller than the sum of its proper divisors (193284792).

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

107992008 is a wasteful number, since it uses less digits than its factorization.

107992008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 107992008 is about 10391.9203230202. The cubic root of 107992008 is about 476.2085685329.

The spelling of 107992008 in words is "one hundred seven million, nine hundred ninety-two thousand, eight".