107686512 has 120 divisors (see below), whose sum is σ = 315984240. Its totient is φ = 34191360.

The previous prime is 107686507. The next prime is 107686519. The reversal of 107686512 is 215686701.

It is a super-2 number, since 2×107686512² = 23192769733452288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107686519) 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 23 ways as a sum of consecutive naturals, for example, 446712 + ... + 446952.

It is an arithmetic number, because the mean of its divisors is an integer number (2633202).

Almost surely, 2^107686512 is an apocalyptic number.

107686512 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 107686512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157992120).

107686512 is an abundant number, since it is smaller than the sum of its proper divisors (208297728).

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

107686512 is a wasteful number, since it uses less digits than its factorization.

107686512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 107686512 is about 10377.2111860557. The cubic root of 107686512 is about 475.7590994379.

The spelling of 107686512 in words is "one hundred seven million, six hundred eighty-six thousand, five hundred twelve".