107392680 has 96 divisors (see below), whose sum is σ = 360322560. Its totient is φ = 27711360.

The previous prime is 107392673. The next prime is 107392687. The reversal of 107392680 is 86293701.

It is an interprime number because it is at equal distance from previous prime (107392673) and next prime (107392687).

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

It is not an unprimeable number, because it can be changed into a prime (107392687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6349 + ... + 15971.

It is an arithmetic number, because the mean of its divisors is an integer number (3753360).

Almost surely, 2^107392680 is an apocalyptic number.

107392680 is a gapful number since it is divisible by the number (10) 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 107392680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180161280).

107392680 is an abundant number, since it is smaller than the sum of its proper divisors (252929880).

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

107392680 is a wasteful number, since it uses less digits than its factorization.

107392680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9671 (or 9664 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 107392680 is about 10363.0439543601. The cubic root of 107392680 is about 475.3259885986.

The spelling of 107392680 in words is "one hundred seven million, three hundred ninety-two thousand, six hundred eighty".