105137 has 2 divisors, whose sum is σ = 105138. Its totient is φ = 105136.

The previous prime is 105107. The next prime is 105143. The reversal of 105137 is 731501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65536 + 39601 = 256^2 + 199^2 .

It is an emirp because it is prime and its reverse (731501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105137 - 2¹⁰ = 104113 is a prime.

It is a super-2 number, since 2×105137² = 22107577538, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52568 + 52569.

It is an arithmetic number, because the mean of its divisors is an integer number (52569).

2¹⁰⁵¹³⁷ is an apocalyptic number.

It is an amenable number.

105137 is a deficient number, since it is larger than the sum of its proper divisors (1).

105137 is an equidigital number, since it uses as much as digits as its factorization.

105137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 105137 is about 324.2483615996. The cubic root of 105137 is about 47.1974491104.

Adding to 105137 its reverse (731501), we get a palindrome (836638).

It can be divided in two parts, 105 and 137, that added together give a palindrome (242).

The spelling of 105137 in words is "one hundred five thousand, one hundred thirty-seven".