10344421300 has 36 divisors (see below), whose sum is σ = 22453412716. Its totient is φ = 4136659200.

The previous prime is 10344421289. The next prime is 10344421301. The reversal of 10344421300 is 312444301.

10344421300 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 2412381456 + 7932039844 = 49116^2 + 89062^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10344421301) by changing a digit.

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, 432454 + ... + 455746.

Almost surely, 2^10344421300 is an apocalyptic number.

10344421300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10344421300 is an abundant number, since it is smaller than the sum of its proper divisors (12108991416).

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

10344421300 is a wasteful number, since it uses less digits than its factorization.

10344421300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27748 (or 27741 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10344421300 its reverse (312444301), we get a palindrome (10656865601).

The spelling of 10344421300 in words is "ten billion, three hundred forty-four million, four hundred twenty-one thousand, three hundred".