105337249 has 2 divisors, whose sum is σ = 105337250. Its totient is φ = 105337248.

The previous prime is 105337223. The next prime is 105337291. The reversal of 105337249 is 942733501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103897249 + 1440000 = 10193^2 + 1200^2 .

It is an emirp because it is prime and its reverse (942733501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105337249 - 2²¹ = 103240097 is a prime.

It is a super-2 number, since 2×105337249² = 22191872053776002, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105337649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52668624 + 52668625.

It is an arithmetic number, because the mean of its divisors is an integer number (52668625).

Almost surely, 2^105337249 is an apocalyptic number.

It is an amenable number.

105337249 is a deficient number, since it is larger than the sum of its proper divisors (1).

105337249 is an equidigital number, since it uses as much as digits as its factorization.

105337249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 105337249 is about 10263.3936395327. The cubic root of 105337249 is about 472.2739495221.

The spelling of 105337249 in words is "one hundred five million, three hundred thirty-seven thousand, two hundred forty-nine".