100017995868 has 144 divisors (see below), whose sum is σ = 303706690560. Its totient is φ = 27134376192.

The previous prime is 100017995801. The next prime is 100017995927. The reversal of 100017995868 is 868599710001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 731073 + ... + 857031.

It is an arithmetic number, because the mean of its divisors is an integer number (2109074240).

Almost surely, 2^100017995868 is an apocalyptic number.

100017995868 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 100017995868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151853345280).

100017995868 is an abundant number, since it is smaller than the sum of its proper divisors (203688694692).

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

100017995868 is a wasteful number, since it uses less digits than its factorization.

100017995868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126136 (or 126131 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 100017995868 in words is "one hundred billion, seventeen million, nine hundred ninety-five thousand, eight hundred sixty-eight".