107968392 has 192 divisors, whose sum is σ = 353808000. Its totient is φ = 29094912.

The previous prime is 107968391. The next prime is 107968433. The reversal of 107968392 is 293869701.

It is not an unprimeable number, because it can be changed into a prime (107968391) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1213084 + ... + 1213172.

It is an arithmetic number, because the mean of its divisors is an integer number (1842750).

Almost surely, 2^107968392 is an apocalyptic number.

107968392 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 107968392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176904000).

107968392 is an abundant number, since it is smaller than the sum of its proper divisors (245839608).

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

107968392 is a wasteful number, since it uses less digits than its factorization.

107968392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 107968392 is about 10390.7839935204. The cubic root of 107968392 is about 476.1738531200.

The spelling of 107968392 in words is "one hundred seven million, nine hundred sixty-eight thousand, three hundred ninety-two".