100518160 has 20 divisors (see below), whose sum is σ = 233704908. Its totient is φ = 40207232.

The previous prime is 100518109. The next prime is 100518163. The reversal of 100518160 is 61815001.

It can be written as a sum of positive squares in 2 ways, for example, as 11102224 + 89415936 = 3332^2 + 9456^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (100518163) 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, 628159 + ... + 628318.

Almost surely, 2^100518160 is an apocalyptic number.

100518160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100518160 is an abundant number, since it is smaller than the sum of its proper divisors (133186748).

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

100518160 is a wasteful number, since it uses less digits than its factorization.

100518160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256490 (or 1256484 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 22.

The square root of 100518160 is about 10025.8745254466. The cubic root of 100518160 is about 464.9591978690.

The spelling of 100518160 in words is "one hundred million, five hundred eighteen thousand, one hundred sixty".