320820288100 has 81 divisors (see below), whose sum is σ = 754024803777. Its totient is φ = 118429534080.

The previous prime is 320820288083. The next prime is 320820288133. The reversal of 320820288100 is 1882028023.

The square root of 320820288100 is 566410.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 91333301796 + 229486986304 = 302214^2 + 479048^2 .

It is a super-2 number, since 2×320820288100² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 73631122 + ... + 73635478.

Almost surely, 2^320820288100 is an apocalyptic number.

320820288100 is the 566410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320820288100

320820288100 is an abundant number, since it is smaller than the sum of its proper divisors (433204515677).

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

320820288100 is an equidigital number, since it uses as much as digits as its factorization.

320820288100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8754 (or 4377 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The spelling of 320820288100 in words is "three hundred twenty billion, eight hundred twenty million, two hundred eighty-eight thousand, one hundred".