107687936 has 52 divisors (see below), whose sum is σ = 219387744. Its totient is φ = 52838400.

The previous prime is 107687897. The next prime is 107687939. The reversal of 107687936 is 639786701.

It is not an unprimeable number, because it can be changed into a prime (107687939) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 249641 + ... + 250071.

Almost surely, 2^107687936 is an apocalyptic number.

107687936 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 107687936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109693872).

107687936 is an abundant number, since it is smaller than the sum of its proper divisors (111699808).

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

107687936 is an frugal number, since it uses more digits than its factorization.

107687936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 47.

The square root of 107687936 is about 10377.2797977119. The cubic root of 107687936 is about 475.7611965064.

The spelling of 107687936 in words is "one hundred seven million, six hundred eighty-seven thousand, nine hundred thirty-six".