100081684188 has 120 divisors (see below), whose sum is σ = 266442145200. Its totient is φ = 32748993792.

The previous prime is 100081684187. The next prime is 100081684193. The reversal of 100081684188 is 881486180001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100081684187) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15232168 + ... + 15238736.

It is an arithmetic number, because the mean of its divisors is an integer number (2220351210).

Almost surely, 2^100081684188 is an apocalyptic number.

100081684188 is a gapful number since it is divisible by the number (18) 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 100081684188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133221072600).

100081684188 is an abundant number, since it is smaller than the sum of its proper divisors (166360461012).

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

100081684188 is a wasteful number, since it uses less digits than its factorization.

100081684188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7441 (or 7430 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 45.

The spelling of 100081684188 in words is "one hundred billion, eighty-one million, six hundred eighty-four thousand, one hundred eighty-eight".