10320400 has 30 divisors (see below), whose sum is σ = 24795722. Its totient is φ = 4128000.

The previous prime is 10320391. The next prime is 10320437. The reversal of 10320400 is 402301.

It can be written as a sum of positive squares in 3 ways, for example, as 685584 + 9634816 = 828^2 + 3104^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12501 + ... + 13300.

Almost surely, 2^10320400 is an apocalyptic number.

10320400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10320400 is an abundant number, since it is smaller than the sum of its proper divisors (14475322).

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

10320400 is a wasteful number, since it uses less digits than its factorization.

10320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25819 (or 25808 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 10320400 is about 3212.5379375192. The cubic root of 10320400 is about 217.7202595412.

Adding to 10320400 its reverse (402301), we get a palindrome (10722701).

It can be divided in two parts, 103 and 20400, that added together give a triangular number (20503 = T₂₀₂).

The spelling of 10320400 in words is "ten million, three hundred twenty thousand, four hundred".