107168772 has 24 divisors (see below), whose sum is σ = 250288416. Its totient is φ = 35690368.

The previous prime is 107168741. The next prime is 107168773. The reversal of 107168772 is 277861701.

It is a super-2 number, since 2×107168772² = 22970291383975968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107168772.

It is not an unprimeable number, because it can be changed into a prime (107168773) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12268 + ... + 19100.

It is an arithmetic number, because the mean of its divisors is an integer number (10428684).

Almost surely, 2^107168772 is an apocalyptic number.

107168772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107168772 is an abundant number, since it is smaller than the sum of its proper divisors (143119644).

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

107168772 is a wasteful number, since it uses less digits than its factorization.

107168772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8147 (or 8145 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 39.

The square root of 107168772 is about 10352.2351209775. The cubic root of 107168772 is about 474.9954156529.

The spelling of 107168772 in words is "one hundred seven million, one hundred sixty-eight thousand, seven hundred seventy-two".