107788960 has 48 divisors (see below), whose sum is σ = 260590176. Its totient is φ = 42110208.

The previous prime is 107788951. The next prime is 107788963. The reversal of 107788960 is 69887701.

It is a self number, because there is not a number n which added to its sum of digits gives 107788960.

It is not an unprimeable number, because it can be changed into a prime (107788963) 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 7 ways as a sum of consecutive naturals, for example, 954 + ... + 14713.

It is an arithmetic number, because the mean of its divisors is an integer number (5428962).

Almost surely, 2^107788960 is an apocalyptic number.

107788960 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 107788960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130295088).

107788960 is an abundant number, since it is smaller than the sum of its proper divisors (152801216).

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

107788960 is a wasteful number, since it uses less digits than its factorization.

107788960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15725 (or 15717 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 46.

The square root of 107788960 is about 10382.1462135726. The cubic root of 107788960 is about 475.9099234021.

The spelling of 107788960 in words is "one hundred seven million, seven hundred eighty-eight thousand, nine hundred sixty".