107080 has 16 divisors (see below), whose sum is σ = 241020. Its totient is φ = 42816.

The previous prime is 107077. The next prime is 107089. The reversal of 107080 is 80701.

It can be written as a sum of positive squares in 2 ways, for example, as 91204 + 15876 = 302^2 + 126^2 .

It is a super-2 number, since 2×107080² = 22932252800, which contains 22 as substring.

It is an Ulam number.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (107089) 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, 1299 + ... + 1378.

2¹⁰⁷⁰⁸⁰ is an apocalyptic number.

107080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107080 is an abundant number, since it is smaller than the sum of its proper divisors (133940).

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

107080 is a wasteful number, since it uses less digits than its factorization.

107080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2688 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 107080 is about 327.2308053958. The cubic root of 107080 is about 47.4864227123.

Adding to 107080 its reverse (80701), we get a palindrome (187781).

The spelling of 107080 in words is "one hundred seven thousand, eighty".