107978832 has 300 divisors, whose sum is σ = 370673820. Its totient is φ = 30191616.

The previous prime is 107978831. The next prime is 107978837. The reversal of 107978832 is 238879701.

It can be written as a sum of positive squares in 6 ways, for example, as 5645376 + 102333456 = 2376^2 + 10116^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107978831) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3723394 + ... + 3723422.

Almost surely, 2^107978832 is an apocalyptic number.

107978832 is a gapful number since it is divisible by the number (12) 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 107978832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185336910).

107978832 is an abundant number, since it is smaller than the sum of its proper divisors (262694988).

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

107978832 is a wasteful number, since it uses less digits than its factorization.

107978832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 107978832 is about 10391.2863496297. The cubic root of 107978832 is about 476.1892004969.

The spelling of 107978832 in words is "one hundred seven million, nine hundred seventy-eight thousand, eight hundred thirty-two".