107116488 has 96 divisors (see below), whose sum is σ = 305393400. Its totient is φ = 33909120.

The previous prime is 107116453. The next prime is 107116553. The reversal of 107116488 is 884611701.

107116488 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 1 + 648 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26440164 + 80676324 = 5142^2 + 8982^2 .

It is a super-2 number, since 2×107116488² = 22947884002908288, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1755978 + ... + 1756038.

Almost surely, 2^107116488 is an apocalyptic number.

107116488 is a gapful number since it is divisible by the number (18) 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 107116488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152696700).

107116488 is an abundant number, since it is smaller than the sum of its proper divisors (198276912).

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

107116488 is an equidigital number, since it uses as much as digits as its factorization.

107116488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 107116488 is about 10349.7095611423. The cubic root of 107116488 is about 474.9181583835.

The spelling of 107116488 in words is "one hundred seven million, one hundred sixteen thousand, four hundred eighty-eight".