320323304202100 has 108 divisors (see below), whose sum is σ = 726887507745420. Its totient is φ = 122516291955200.

The previous prime is 320323304202071. The next prime is 320323304202103. The reversal of 320323304202100 is 1202403323023.

It can be written as a sum of positive squares in 6 ways, for example, as 72093324004 + 320251210878096 = 268502^2 + 17895564^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320323304202103) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 152845320 + ... + 154926880.

Almost surely, 2^{320323304202100} 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 320323304202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363443753872710).

320323304202100 is an abundant number, since it is smaller than the sum of its proper divisors (406564203543320).

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

320323304202100 is a wasteful number, since it uses less digits than its factorization.

320323304202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084530 (or 2084500 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 320323304202100 its reverse (1202403323023), we get a palindrome (321525707525123).

The spelling of 320323304202100 in words is "three hundred twenty trillion, three hundred twenty-three billion, three hundred four million, two hundred two thousand, one hundred".