107306080 has 72 divisors (see below), whose sum is σ = 294921648. Its totient is φ = 36787968.

The previous prime is 107306051. The next prime is 107306083. The reversal of 107306080 is 80603701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107306083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 997 + ... + 14683.

It is an arithmetic number, because the mean of its divisors is an integer number (4096134).

Almost surely, 2^107306080 is an apocalyptic number.

107306080 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 107306080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147460824).

107306080 is an abundant number, since it is smaller than the sum of its proper divisors (187615568).

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

107306080 is a wasteful number, since it uses less digits than its factorization.

107306080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13716 (or 13701 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 107306080 is about 10358.8648026702. The cubic root of 107306080 is about 475.1981887645.

Adding to 107306080 its reverse (80603701), we get a palindrome (187909781).

The spelling of 107306080 in words is "one hundred seven million, three hundred six thousand, eighty".