10325302400 has 96 divisors (see below), whose sum is σ = 29150604480. Its totient is φ = 3540096000.

The previous prime is 10325302387. The next prime is 10325302423. The reversal of 10325302400 is 420352301.

It is a happy number.

10325302400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10325302400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 208076 + ... + 252875.

It is an arithmetic number, because the mean of its divisors is an integer number (303652130).

Almost surely, 2^10325302400 is an apocalyptic number.

10325302400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10325302400 is an abundant number, since it is smaller than the sum of its proper divisors (18825302080).

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

10325302400 is an equidigital number, since it uses as much as digits as its factorization.

10325302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460982 (or 460965 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 10325302400 its reverse (420352301), we get a palindrome (10745654701).

The spelling of 10325302400 in words is "ten billion, three hundred twenty-five million, three hundred two thousand, four hundred".