100845884160 has 864 divisors, whose sum is σ = 413043671040. Its totient is φ = 22239608832.

The previous prime is 100845884137. The next prime is 100845884171. The reversal of 100845884160 is 61488548001.

100845884160 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 4 + 588 + 4 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 440374926 + ... + 440375154.

Almost surely, 2^100845884160 is an apocalyptic number.

100845884160 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 100845884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206521835520).

100845884160 is an abundant number, since it is smaller than the sum of its proper divisors (312197786880).

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

100845884160 is a wasteful number, since it uses less digits than its factorization.

100845884160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 100845884160 in words is "one hundred billion, eight hundred forty-five million, eight hundred eighty-four thousand, one hundred sixty".