107860368 has 180 divisors, whose sum is σ = 357216720. Its totient is φ = 27941760.

The previous prime is 107860351. The next prime is 107860369. The reversal of 107860368 is 863068701.

It is not an unprimeable number, because it can be changed into a prime (107860369) 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 35 ways as a sum of consecutive naturals, for example, 284403 + ... + 284781.

Almost surely, 2^107860368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107860368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178608360).

107860368 is an abundant number, since it is smaller than the sum of its proper divisors (249356352).

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

107860368 is a wasteful number, since it uses less digits than its factorization.

107860368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 107860368 is about 10385.5846248538. The cubic root of 107860368 is about 476.0149937607.

The spelling of 107860368 in words is "one hundred seven million, eight hundred sixty thousand, three hundred sixty-eight".