100326520800 has 1296 divisors, whose sum is σ = 424847339280. Its totient is φ = 22246963200.

The previous prime is 100326520759. The next prime is 100326520837. The reversal of 100326520800 is 8025623001.

100326520800 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 2 + 652 + 0 + 8 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3459535186 + ... + 3459535214.

It is an arithmetic number, because the mean of its divisors is an integer number (327814305).

Almost surely, 2^100326520800 is an apocalyptic number.

100326520800 is a gapful number since it is divisible by the number (10) 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 100326520800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212423669640).

100326520800 is an abundant number, since it is smaller than the sum of its proper divisors (324520818480).

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

100326520800 is a wasteful number, since it uses less digits than its factorization.

100326520800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

It can be divided in two parts, 100326 and 520800, that added together give a palindrome (621126).

The spelling of 100326520800 in words is "one hundred billion, three hundred twenty-six million, five hundred twenty thousand, eight hundred".