10300440321 has 12 divisors (see below), whose sum is σ = 14879594340. Its totient is φ = 6866415360.

The previous prime is 10300440317. The next prime is 10300440329. The reversal of 10300440321 is 12304400301.

10300440321 is a `hidden beast` number, since 1 + 0 + 300 + 4 + 40 + 321 = 666.

10300440321 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 2 ways, for example, as 7240137921 + 3060302400 = 85089^2 + 55320^2 .

It is not a de Polignac number, because 10300440321 - 2² = 10300440317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10300440294 and 10300440303.

It is not an unprimeable number, because it can be changed into a prime (10300440329) 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, 98245 + ... + 173933.

It is an arithmetic number, because the mean of its divisors is an integer number (1239966195).

Almost surely, 2^10300440321 is an apocalyptic number.

It is an amenable number.

10300440321 is a deficient number, since it is larger than the sum of its proper divisors (4579154019).

10300440321 is a wasteful number, since it uses less digits than its factorization.

10300440321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90816 (or 90813 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10300440321 its reverse (12304400301), we get a palindrome (22604840622).

The spelling of 10300440321 in words is "ten billion, three hundred million, four hundred forty thousand, three hundred twenty-one".