100859017088 has 128 divisors (see below), whose sum is σ = 214169253120. Its totient is φ = 47210397696.

The previous prime is 100859017037. The next prime is 100859017109. The reversal of 100859017088 is 880710958001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32149856 + ... + 32152992.

It is an arithmetic number, because the mean of its divisors is an integer number (1673197290).

Almost surely, 2^100859017088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100859017088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107084626560).

100859017088 is an abundant number, since it is smaller than the sum of its proper divisors (113310236032).

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

100859017088 is a wasteful number, since it uses less digits than its factorization.

100859017088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404 (or 3392 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 47.

The spelling of 100859017088 in words is "one hundred billion, eight hundred fifty-nine million, seventeen thousand, eighty-eight".