107314688 has 80 divisors (see below), whose sum is σ = 241297056. Its totient is φ = 47308800.

The previous prime is 107314663. The next prime is 107314709. The reversal of 107314688 is 886413701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152738 + ... + 153438.

Almost surely, 2^107314688 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 107314688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120648528).

107314688 is an abundant number, since it is smaller than the sum of its proper divisors (133982368).

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

107314688 is an equidigital number, since it uses as much as digits as its factorization.

107314688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 107314688 is about 10359.2802838807. The cubic root of 107314688 is about 475.2108950859.

The spelling of 107314688 in words is "one hundred seven million, three hundred fourteen thousand, six hundred eighty-eight".