107132080 has 80 divisors (see below), whose sum is σ = 276973344. Its totient is φ = 38205440.

The previous prime is 107132041. The next prime is 107132101. The reversal of 107132080 is 80231701.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×107132080² = 22954565130252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45492 + ... + 47788.

Almost surely, 2^107132080 is an apocalyptic number.

107132080 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 107132080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138486672).

107132080 is an abundant number, since it is smaller than the sum of its proper divisors (169841264).

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

107132080 is a wasteful number, since it uses less digits than its factorization.

107132080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 107132080 is about 10350.4627915857. The cubic root of 107132080 is about 474.9412004778.

Adding to 107132080 its reverse (80231701), we get a palindrome (187363781).

The spelling of 107132080 in words is "one hundred seven million, one hundred thirty-two thousand, eighty".