107137488 has 80 divisors (see below), whose sum is σ = 289267200. Its totient is φ = 34129920.

The previous prime is 107137463. The next prime is 107137493. The reversal of 107137488 is 884731701.

It is a super-2 number, since 2×107137488² = 22956882669900288, which contains 22 as substring.

It is a congruent number.

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, 132028 + ... + 132836.

It is an arithmetic number, because the mean of its divisors is an integer number (3615840).

Almost surely, 2^107137488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107137488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144633600).

107137488 is an abundant number, since it is smaller than the sum of its proper divisors (182129712).

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

107137488 is a wasteful number, since it uses less digits than its factorization.

107137488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 107137488 is about 10350.7240326462. The cubic root of 107137488 is about 474.9491919801.

The spelling of 107137488 in words is "one hundred seven million, one hundred thirty-seven thousand, four hundred eighty-eight".