105113249 has 2 divisors, whose sum is σ = 105113250. Its totient is φ = 105113248.

The previous prime is 105113233. The next prime is 105113297. The reversal of 105113249 is 942311501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98863249 + 6250000 = 9943^2 + 2500^2 .

It is an emirp because it is prime and its reverse (942311501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105113249 - 2⁴ = 105113233 is a prime.

It is a super-2 number, since 2×105113249² = 22097590230672002, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105113209) 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, 52556624 + 52556625.

It is an arithmetic number, because the mean of its divisors is an integer number (52556625).

Almost surely, 2^105113249 is an apocalyptic number.

It is an amenable number.

105113249 is a deficient number, since it is larger than the sum of its proper divisors (1).

105113249 is an equidigital number, since it uses as much as digits as its factorization.

105113249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 105113249 is about 10252.4752621013. The cubic root of 105113249 is about 471.9389479231.

The spelling of 105113249 in words is "one hundred five million, one hundred thirteen thousand, two hundred forty-nine".