100009319712 has 96 divisors (see below), whose sum is σ = 265061160000. Its totient is φ = 33015641088.

The previous prime is 100009319677. The next prime is 100009319717. The reversal of 100009319712 is 217913900001.

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

It is not an unprimeable number, because it can be changed into a prime (100009319717) 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, 4953414 + ... + 4973562.

It is an arithmetic number, because the mean of its divisors is an integer number (2761053750).

Almost surely, 2^100009319712 is an apocalyptic number.

100009319712 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 100009319712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132530580000).

100009319712 is an abundant number, since it is smaller than the sum of its proper divisors (165051840288).

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

100009319712 is a wasteful number, since it uses less digits than its factorization.

100009319712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20658 (or 20650 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 33.

The spelling of 100009319712 in words is "one hundred billion, nine million, three hundred nineteen thousand, seven hundred twelve".