105263 has 2 divisors, whose sum is σ = 105264. Its totient is φ = 105262.

The previous prime is 105253. The next prime is 105269. The reversal of 105263 is 362501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105263 - 2⁶ = 105199 is a prime.

It is a super-2 number, since 2×105263² = 22160598338, which contains 22 as substring.

It is a Sophie Germain prime.

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 105263.

It is not a weakly prime, because it can be changed into another prime (105269) 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, 52631 + 52632.

It is an arithmetic number, because the mean of its divisors is an integer number (52632).

2¹⁰⁵²⁶³ is an apocalyptic number.

105263 is a deficient number, since it is larger than the sum of its proper divisors (1).

105263 is an equidigital number, since it uses as much as digits as its factorization.

105263 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 105263 is about 324.4425989293. The cubic root of 105263 is about 47.2162959627.

Adding to 105263 its reverse (362501), we get a palindrome (467764).

The spelling of 105263 in words is "one hundred five thousand, two hundred sixty-three".