10224334105 has 16 divisors (see below), whose sum is σ = 12697854480. Its totient is φ = 7893946368.

The previous prime is 10224334103. The next prime is 10224334171. The reversal of 10224334105 is 50143342201.

10224334105 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 8 ways, for example, as 1277633536 + 8946700569 = 35744^2 + 94587^2 .

It is a cyclic number.

It is not a de Polignac number, because 10224334105 - 2¹ = 10224334103 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10224334105.

It is not an unprimeable number, because it can be changed into a prime (10224334103) 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 15 ways as a sum of consecutive naturals, for example, 344329 + ... + 372841.

It is an arithmetic number, because the mean of its divisors is an integer number (793615905).

Almost surely, 2^10224334105 is an apocalyptic number.

It is an amenable number.

10224334105 is a deficient number, since it is larger than the sum of its proper divisors (2473520375).

10224334105 is a wasteful number, since it uses less digits than its factorization.

10224334105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31020.

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 10224334105 its reverse (50143342201), we get a palindrome (60367676306).

The spelling of 10224334105 in words is "ten billion, two hundred twenty-four million, three hundred thirty-four thousand, one hundred five".