100518166116 has 81 divisors (see below), whose sum is σ = 259232158731. Its totient is φ = 32840892864.

The previous prime is 100518166103. The next prime is 100518166123. The reversal of 100518166116 is 611661815001.

The square root of 100518166116 is 317046.

It is a perfect power (a square), and thus also a powerful number.

100518166116 is a `hidden beast` number, since 10 + 0 + 5 + 18 + 16 + 611 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35064060516 + 65454105600 = 187254^2 + 255840^2 .

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 26 ways as a sum of consecutive naturals, for example, 100820130 + ... + 100821126.

Almost surely, 2^100518166116 is an apocalyptic number.

100518166116 is the 317046-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100518166116

100518166116 is an abundant number, since it is smaller than the sum of its proper divisors (158713992615).

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

100518166116 is an frugal number, since it uses more digits than its factorization.

100518166116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

Multiplying 100518166116 by its sum of digits (36), we get a square (3618653980176 = 1902276²).

100518166116 divided by its sum of digits (36) gives a square (2792171281 = 52841²).

The spelling of 100518166116 in words is "one hundred billion, five hundred eighteen million, one hundred sixty-six thousand, one hundred sixteen".