10305421300 has 54 divisors (see below), whose sum is σ = 22983803682. Its totient is φ = 4010705280.

The previous prime is 10305421271. The next prime is 10305421327. The reversal of 10305421300 is 312450301.

10305421300 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 9 ways, for example, as 135908964 + 10169512336 = 11658^2 + 100844^2 .

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 17 ways as a sum of consecutive naturals, for example, 99262 + ... + 174538.

Almost surely, 2^10305421300 is an apocalyptic number.

10305421300 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 10305421300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11491901841).

10305421300 is an abundant number, since it is smaller than the sum of its proper divisors (12678382382).

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

10305421300 is a wasteful number, since it uses less digits than its factorization.

10305421300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75365 (or 75321 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 10305421300 its reverse (312450301), we get a palindrome (10617871601).

The spelling of 10305421300 in words is "ten billion, three hundred five million, four hundred twenty-one thousand, three hundred".