100016918336 has 28 divisors (see below), whose sum is σ = 200227467972. Its totient is φ = 49565902848.

The previous prime is 100016918299. The next prime is 100016918359. The reversal of 100016918336 is 633819610001.

It can be written as a sum of positive squares in 2 ways, for example, as 1134342400 + 98882575936 = 33680^2 + 314456^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100016918336.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6907655 + ... + 6922118.

It is an arithmetic number, because the mean of its divisors is an integer number (7150980999).

Almost surely, 2^100016918336 is an apocalyptic number.

100016918336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100016918336 is an abundant number, since it is smaller than the sum of its proper divisors (100210549636).

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

100016918336 is a wasteful number, since it uses less digits than its factorization.

100016918336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13829898 (or 13829888 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The spelling of 100016918336 in words is "one hundred billion, sixteen million, nine hundred eighteen thousand, three hundred thirty-six".