105344510313 has 16 divisors (see below), whose sum is σ = 160550415360. Its totient is φ = 60187320336.

The previous prime is 105344510311. The next prime is 105344510329. The reversal of 105344510313 is 313015443501.

It is not a de Polignac number, because 105344510313 - 2¹ = 105344510311 is a prime.

It is a super-2 number, since 2×105344510313² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105344510311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260895 + ... + 527972.

It is an arithmetic number, because the mean of its divisors is an integer number (10034400960).

Almost surely, 2^105344510313 is an apocalyptic number.

It is an amenable number.

105344510313 is a deficient number, since it is larger than the sum of its proper divisors (55205905047).

105344510313 is an equidigital number, since it uses as much as digits as its factorization.

105344510313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795236.

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 105344510313 its reverse (313015443501), we get a palindrome (418359953814).

The spelling of 105344510313 in words is "one hundred five billion, three hundred forty-four million, five hundred ten thousand, three hundred thirteen".