105345293 has 2 divisors, whose sum is σ = 105345294. Its totient is φ = 105345292.

The previous prime is 105345269. The next prime is 105345349. The reversal of 105345293 is 392543501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69189124 + 36156169 = 8318^2 + 6013^2 .

It is a cyclic number.

It is not a de Polignac number, because 105345293 - 2²² = 101150989 is a prime.

It is a super-2 number, since 2×105345293² = 22195261514511698, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105345203) by changing a digit.

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 as a sum of consecutive naturals, namely, 52672646 + 52672647.

It is an arithmetic number, because the mean of its divisors is an integer number (52672647).

Almost surely, 2^105345293 is an apocalyptic number.

It is an amenable number.

105345293 is a deficient number, since it is larger than the sum of its proper divisors (1).

105345293 is an equidigital number, since it uses as much as digits as its factorization.

105345293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16200, while the sum is 32.

The square root of 105345293 is about 10263.7855102296. The cubic root of 105345293 is about 472.2859708314.

Adding to 105345293 its reverse (392543501), we get a palindrome (497888794).

The spelling of 105345293 in words is "one hundred five million, three hundred forty-five thousand, two hundred ninety-three".