10321320400 has 60 divisors (see below), whose sum is σ = 25652069100. Its totient is φ = 3986160640.

The previous prime is 10321320397. The next prime is 10321320413. The reversal of 10321320400 is 402312301.

It is a happy number.

10321320400 is digitally balanced in base 2, 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 6 ways, for example, as 1026817936 + 9294502464 = 32044^2 + 96408^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 433285 + ... + 456484.

It is an arithmetic number, because the mean of its divisors is an integer number (427534485).

Almost surely, 2^10321320400 is an apocalyptic number.

10321320400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10321320400 is an abundant number, since it is smaller than the sum of its proper divisors (15330748700).

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

10321320400 is a wasteful number, since it uses less digits than its factorization.

10321320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889816 (or 889805 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10321320400 its reverse (402312301), we get a palindrome (10723632701).

The spelling of 10321320400 in words is "ten billion, three hundred twenty-one million, three hundred twenty thousand, four hundred".