100084844160 has 1440 divisors, whose sum is σ = 440098811460. Its totient is φ = 21598617600.

The previous prime is 100084844137. The next prime is 100084844161. The reversal of 100084844160 is 61448480001.

100084844160 is a `hidden beast` number, since 10 + 0 + 0 + 8 + 484 + 4 + 160 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88123484736 + 11961359424 = 296856^2 + 109368^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×100084844160² (a number of 23 digits) contains 22 as substring.

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 (100084844161) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2441093740 + ... + 2441093780.

Almost surely, 2^100084844160 is an apocalyptic number.

100084844160 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 100084844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220049405730).

100084844160 is an abundant number, since it is smaller than the sum of its proper divisors (340013967300).

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

100084844160 is an equidigital number, since it uses as much as digits as its factorization.

100084844160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 100084844160 in words is "one hundred billion, eighty-four million, eight hundred forty-four thousand, one hundred sixty".