10320210400 has 144 divisors (see below), whose sum is σ = 27836905824. Its totient is φ = 3716218880.

The previous prime is 10320210371. The next prime is 10320210419. The reversal of 10320210400 is 401202301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 296304 + ... + 329296.

It is an arithmetic number, because the mean of its divisors is an integer number (193311846).

Almost surely, 2^10320210400 is an apocalyptic number.

10320210400 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 10320210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13918452912).

10320210400 is an abundant number, since it is smaller than the sum of its proper divisors (17516695424).

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

10320210400 is a wasteful number, since it uses less digits than its factorization.

10320210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33053 (or 33040 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10320210400 its reverse (401202301), we get a palindrome (10721412701).

The spelling of 10320210400 in words is "ten billion, three hundred twenty million, two hundred ten thousand, four hundred".