100326708864 has 160 divisors (see below), whose sum is σ = 306641309700. Its totient is φ = 32538267648.

The previous prime is 100326708847. The next prime is 100326708877. The reversal of 100326708864 is 468807623001.

100326708864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 99225000000 + 1101708864 = 315000^2 + 33192^2 .

It is a super-2 number, since 2×100326708864² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 252852 + ... + 514380.

Almost surely, 2^100326708864 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 100326708864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153320654850).

100326708864 is an abundant number, since it is smaller than the sum of its proper divisors (206314600836).

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

100326708864 is an equidigital number, since it uses as much as digits as its factorization.

100326708864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261592 (or 261571 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 100326708864 in words is "one hundred billion, three hundred twenty-six million, seven hundred eight thousand, eight hundred sixty-four".