107909968 has 40 divisors (see below), whose sum is σ = 221771520. Its totient is φ = 50722560.

The previous prime is 107909953. The next prime is 107909969. The reversal of 107909968 is 869909701.

It is a super-2 number, since 2×107909968² = 23289122387522048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107909969) 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 7 ways as a sum of consecutive naturals, for example, 40353 + ... + 42943.

It is an arithmetic number, because the mean of its divisors is an integer number (5544288).

Almost surely, 2^107909968 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 107909968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110885760).

107909968 is an abundant number, since it is smaller than the sum of its proper divisors (113861552).

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

107909968 is a wasteful number, since it uses less digits than its factorization.

107909968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 49.

The square root of 107909968 is about 10387.9722756657. The cubic root of 107909968 is about 476.0879483468.

The spelling of 107909968 in words is "one hundred seven million, nine hundred nine thousand, nine hundred sixty-eight".