100086374112 has 96 divisors (see below), whose sum is σ = 266250862080. Its totient is φ = 32915251200.

The previous prime is 100086374053. The next prime is 100086374117. The reversal of 100086374112 is 211473680001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100086374117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12137863 + ... + 12146105.

It is an arithmetic number, because the mean of its divisors is an integer number (2773446480).

Almost surely, 2^100086374112 is an apocalyptic number.

100086374112 is a gapful number since it is divisible by the number (12) 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 100086374112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133125431040).

100086374112 is an abundant number, since it is smaller than the sum of its proper divisors (166164487968).

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

100086374112 is a wasteful number, since it uses less digits than its factorization.

100086374112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9936 (or 9928 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 100086374112 in words is "one hundred billion, eighty-six million, three hundred seventy-four thousand, one hundred twelve".