105310105 has 8 divisors (see below), whose sum is σ = 127177992. Its totient is φ = 83710848.

The previous prime is 105310057. The next prime is 105310129. The reversal of 105310105 is 501013501.

It can be written as a sum of positive squares in 4 ways, for example, as 2247001 + 103063104 = 1499^2 + 10152^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105310105 - 2⁹ = 105309593 is a prime.

It is a super-2 number, since 2×105310105² = 22180436430222050, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66292 + ... + 67861.

It is an arithmetic number, because the mean of its divisors is an integer number (15897249).

Almost surely, 2^105310105 is an apocalyptic number.

It is an amenable number.

105310105 is a deficient number, since it is larger than the sum of its proper divisors (21867887).

105310105 is a wasteful number, since it uses less digits than its factorization.

105310105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134315.

The product of its (nonzero) digits is 75, while the sum is 16.

The square root of 105310105 is about 10262.0711847073. The cubic root of 105310105 is about 472.2333798107.

Adding to 105310105 its reverse (501013501), we get a palindrome (606323606).

The spelling of 105310105 in words is "one hundred five million, three hundred ten thousand, one hundred five".