105345305 has 12 divisors (see below), whose sum is σ = 136887660. Its totient is φ = 77792832.

The previous prime is 105345293. The next prime is 105345349. The reversal of 105345305 is 503543501.

It can be written as a sum of positive squares in 6 ways, for example, as 21641104 + 83704201 = 4652^2 + 9149^2 .

It is not a de Polignac number, because 105345305 - 2⁶ = 105345241 is a prime.

It is a super-2 number, since 2×105345305² = 22195266571086050, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61490 + ... + 63179.

It is an arithmetic number, because the mean of its divisors is an integer number (11407305).

Almost surely, 2^105345305 is an apocalyptic number.

It is an amenable number.

105345305 is a deficient number, since it is larger than the sum of its proper divisors (31542355).

105345305 is a wasteful number, since it uses less digits than its factorization.

105345305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124700 (or 124687 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 105345305 is about 10263.7860948093. The cubic root of 105345305 is about 472.2859887643.

Adding to 105345305 its reverse (503543501), we get a palindrome (608888806).

The spelling of 105345305 in words is "one hundred five million, three hundred forty-five thousand, three hundred five".