105353113 has 2 divisors, whose sum is σ = 105353114. Its totient is φ = 105353112.

The previous prime is 105353111. The next prime is 105353141. The reversal of 105353113 is 311353501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76965529 + 28387584 = 8773^2 + 5328^2 .

It is a cyclic number.

It is not a de Polignac number, because 105353113 - 2¹ = 105353111 is a prime.

It is a super-2 number, since 2×105353113² = 22198556837581538, which contains 22 as substring.

Together with 105353111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (105353111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52676556 + 52676557.

It is an arithmetic number, because the mean of its divisors is an integer number (52676557).

Almost surely, 2^105353113 is an apocalyptic number.

It is an amenable number.

105353113 is a deficient number, since it is larger than the sum of its proper divisors (1).

105353113 is an equidigital number, since it uses as much as digits as its factorization.

105353113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 675, while the sum is 22.

The square root of 105353113 is about 10264.1664542232. The cubic root of 105353113 is about 472.2976567986.

The spelling of 105353113 in words is "one hundred five million, three hundred fifty-three thousand, one hundred thirteen".