105337 has 2 divisors, whose sum is σ = 105338. Its totient is φ = 105336.

The previous prime is 105331. The next prime is 105341. The reversal of 105337 is 733501.

It is the 133-rd star number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104976 + 361 = 324^2 + 19^2 .

It is a cyclic number.

It is not a de Polignac number, because 105337 - 2¹¹ = 103289 is a prime.

It is a super-2 number, since 2×105337² = 22191767138, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52668 + 52669.

It is an arithmetic number, because the mean of its divisors is an integer number (52669).

2¹⁰⁵³³⁷ is an apocalyptic number.

It is an amenable number.

105337 is a deficient number, since it is larger than the sum of its proper divisors (1).

105337 is an equidigital number, since it uses as much as digits as its factorization.

105337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 315, while the sum is 19.

The square root of 105337 is about 324.5566206381. The cubic root of 105337 is about 47.2273577396.

Adding to 105337 its reverse (733501), we get a palindrome (838838).

The spelling of 105337 in words is "one hundred five thousand, three hundred thirty-seven".