107985696 has 192 divisors, whose sum is σ = 357654528. Its totient is φ = 27767808.

The previous prime is 107985671. The next prime is 107985719. The reversal of 107985696 is 696589701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410461 + ... + 410723.

It is an arithmetic number, because the mean of its divisors is an integer number (1862784).

Almost surely, 2^107985696 is an apocalyptic number.

107985696 is a gapful number since it is divisible by the number (16) 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 107985696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178827264).

107985696 is an abundant number, since it is smaller than the sum of its proper divisors (249668832).

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

107985696 is a wasteful number, since it uses less digits than its factorization.

107985696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The square root of 107985696 is about 10391.6166211038. The cubic root of 107985696 is about 476.1992904172.

The spelling of 107985696 in words is "one hundred seven million, nine hundred eighty-five thousand, six hundred ninety-six".