100017585180 has 288 divisors, whose sum is σ = 319930490880. Its totient is φ = 25243384320.

The previous prime is 100017585167. The next prime is 100017585181. The reversal of 100017585180 is 81585710001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100017585181) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 268143474 + ... + 268143846.

It is an arithmetic number, because the mean of its divisors is an integer number (1110869760).

Almost surely, 2^100017585180 is an apocalyptic number.

100017585180 is a gapful number since it is divisible by the number (10) 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 100017585180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159965245440).

100017585180 is an abundant number, since it is smaller than the sum of its proper divisors (219912905700).

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

100017585180 is a wasteful number, since it uses less digits than its factorization.

100017585180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 36.

The spelling of 100017585180 in words is "one hundred billion, seventeen million, five hundred eighty-five thousand, one hundred eighty".