100016514018 has 40 divisors (see below), whose sum is σ = 237294088812. Its totient is φ = 31377729024.

The previous prime is 100016513959. The next prime is 100016514023. The reversal of 100016514018 is 810415610001.

100016514018 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 651 + 4 + 0 + 1 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98811521649 + 1204992369 = 314343^2 + 34713^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100016513982 and 100016514000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18155655 + ... + 18161162.

Almost surely, 2^100016514018 is an apocalyptic number.

100016514018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

100016514018 is an abundant number, since it is smaller than the sum of its proper divisors (137277574794).

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

100016514018 is a wasteful number, since it uses less digits than its factorization.

100016514018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36316848 (or 36316839 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The spelling of 100016514018 in words is "one hundred billion, sixteen million, five hundred fourteen thousand, eighteen".