105325313 has 2 divisors, whose sum is σ = 105325314. Its totient is φ = 105325312.

The previous prime is 105325309. The next prime is 105325331. The reversal of 105325313 is 313523501.

Together with next prime (105325331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86731969 + 18593344 = 9313^2 + 4312^2 .

It is an emirp because it is prime and its reverse (313523501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105325313 - 2² = 105325309 is a prime.

It is a super-2 number, since 2×105325313² = 22186843117095938, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105325333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52662656 + 52662657.

It is an arithmetic number, because the mean of its divisors is an integer number (52662657).

Almost surely, 2^105325313 is an apocalyptic number.

It is an amenable number.

105325313 is a deficient number, since it is larger than the sum of its proper divisors (1).

105325313 is an equidigital number, since it uses as much as digits as its factorization.

105325313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 105325313 is about 10262.8121389802. The cubic root of 105325313 is about 472.2561107080.

Adding to 105325313 its reverse (313523501), we get a palindrome (418848814).

The spelling of 105325313 in words is "one hundred five million, three hundred twenty-five thousand, three hundred thirteen".