107382968 has 64 divisors (see below), whose sum is σ = 256435200. Its totient is φ = 40936320.

The previous prime is 107382923. The next prime is 107382973. The reversal of 107382968 is 869283701.

It is a super-2 number, since 2×107382968² = 23062203632978048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27098 + ... + 30806.

It is an arithmetic number, because the mean of its divisors is an integer number (4006800).

Almost surely, 2^107382968 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 107382968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128217600).

107382968 is an abundant number, since it is smaller than the sum of its proper divisors (149052232).

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

107382968 is a wasteful number, since it uses less digits than its factorization.

107382968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3780 (or 3776 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The square root of 107382968 is about 10362.5753555764. The cubic root of 107382968 is about 475.3116595488.

The spelling of 107382968 in words is "one hundred seven million, three hundred eighty-two thousand, nine hundred sixty-eight".