107976240 has 200 divisors, whose sum is σ = 395205360. Its totient is φ = 27247104.

The previous prime is 107976227. The next prime is 107976257. The reversal of 107976240 is 42679701.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 107976195 and 107976204.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 122682 + ... + 123558.

Almost surely, 2^107976240 is an apocalyptic number.

107976240 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 107976240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197602680).

107976240 is an abundant number, since it is smaller than the sum of its proper divisors (287229120).

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

107976240 is a wasteful number, since it uses less digits than its factorization.

107976240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 107976240 is about 10391.1616289999. The cubic root of 107976240 is about 476.1853902060.

The spelling of 107976240 in words is "one hundred seven million, nine hundred seventy-six thousand, two hundred forty".