107686368 has 96 divisors (see below), whose sum is σ = 327801600. Its totient is φ = 34328448.

The previous prime is 107686363. The next prime is 107686379. The reversal of 107686368 is 863686701.

107686368 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 8 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107686363) 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 15 ways as a sum of consecutive naturals, for example, 17163 + ... + 22581.

It is an arithmetic number, because the mean of its divisors is an integer number (3414600).

Almost surely, 2^107686368 is an apocalyptic number.

107686368 is a gapful number since it is divisible by the number (18) 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 107686368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163900800).

107686368 is an abundant number, since it is smaller than the sum of its proper divisors (220115232).

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

107686368 is a wasteful number, since it uses less digits than its factorization.

107686368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5461 (or 5447 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 107686368 is about 10377.2042477731. The cubic root of 107686368 is about 475.7588873738.

The spelling of 107686368 in words is "one hundred seven million, six hundred eighty-six thousand, three hundred sixty-eight".