107681320 has 32 divisors (see below), whose sum is σ = 242651520. Its totient is φ = 43007040.

The previous prime is 107681317. The next prime is 107681323. The reversal of 107681320 is 23186701.

It is an interprime number because it is at equal distance from previous prime (107681317) and next prime (107681323).

It is not an unprimeable number, because it can be changed into a prime (107681323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31285 + ... + 34555.

It is an arithmetic number, because the mean of its divisors is an integer number (7582860).

Almost surely, 2^107681320 is an apocalyptic number.

107681320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107681320 is an abundant number, since it is smaller than the sum of its proper divisors (134970200).

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

107681320 is a wasteful number, since it uses less digits than its factorization.

107681320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4105 (or 4101 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 107681320 is about 10376.9610194893. The cubic root of 107681320 is about 475.7514532283.

The spelling of 107681320 in words is "one hundred seven million, six hundred eighty-one thousand, three hundred twenty".