100082084432 has 80 divisors (see below), whose sum is σ = 222790115520. Its totient is φ = 43074432000.

The previous prime is 100082084371. The next prime is 100082084537. The reversal of 100082084432 is 234480280001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7192682 + ... + 7206582.

It is an arithmetic number, because the mean of its divisors is an integer number (2784876444).

Almost surely, 2^100082084432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100082084432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111395057760).

100082084432 is an abundant number, since it is smaller than the sum of its proper divisors (122708031088).

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

100082084432 is a wasteful number, since it uses less digits than its factorization.

100082084432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16092 (or 16086 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The spelling of 100082084432 in words is "one hundred billion, eighty-two million, eighty-four thousand, four hundred thirty-two".