107978640 has 160 divisors (see below), whose sum is σ = 417401856. Its totient is φ = 22433280.

The previous prime is 107978639. The next prime is 107978659. The reversal of 107978640 is 46879701.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 107978592 and 107978601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15559 + ... + 21401.

Almost surely, 2^107978640 is an apocalyptic number.

107978640 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 107978640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208700928).

107978640 is an abundant number, since it is smaller than the sum of its proper divisors (309423216).

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

107978640 is a wasteful number, since it uses less digits than its factorization.

107978640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5877 (or 5871 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 107978640 is about 10391.2771111158. The cubic root of 107978640 is about 476.1889182552.

The spelling of 107978640 in words is "one hundred seven million, nine hundred seventy-eight thousand, six hundred forty".