100843364160 has 1008 divisors, whose sum is σ = 443944126080. Its totient is φ = 20775444480.

The previous prime is 100843364137. The next prime is 100843364179. The reversal of 100843364160 is 61463348001.

It is a happy number.

100843364160 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 4 + 3 + 3 + 641 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 259237246 + ... + 259237634.

It is an arithmetic number, because the mean of its divisors is an integer number (440420760).

Almost surely, 2^100843364160 is an apocalyptic number.

100843364160 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 100843364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221972063040).

100843364160 is an abundant number, since it is smaller than the sum of its proper divisors (343100761920).

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

100843364160 is a wasteful number, since it uses less digits than its factorization.

100843364160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 100843364160 in words is "one hundred billion, eight hundred forty-three million, three hundred sixty-four thousand, one hundred sixty".