105037 has 2 divisors, whose sum is σ = 105038. Its totient is φ = 105036.

The previous prime is 105031. The next prime is 105071. The reversal of 105037 is 730501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60516 + 44521 = 246^2 + 211^2 .

It is a cyclic number.

It is not a de Polignac number, because 105037 - 2¹⁵ = 72269 is a prime.

It is a super-2 number, since 2×105037² = 22065542738, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105037.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105037.

It is not a weakly prime, because it can be changed into another prime (105031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52518 + 52519.

It is an arithmetic number, because the mean of its divisors is an integer number (52519).

2¹⁰⁵⁰³⁷ is an apocalyptic number.

It is an amenable number.

105037 is a deficient number, since it is larger than the sum of its proper divisors (1).

105037 is an equidigital number, since it uses as much as digits as its factorization.

105037 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 16.

The square root of 105037 is about 324.0941221312. The cubic root of 105037 is about 47.1824805707.

Adding to 105037 its reverse (730501), we get a palindrome (835538).

The spelling of 105037 in words is "one hundred five thousand, thirty-seven".