105529 has 2 divisors, whose sum is σ = 105530. Its totient is φ = 105528.

The previous prime is 105527. The next prime is 105533. The reversal of 105529 is 925501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63504 + 42025 = 252^2 + 205^2 .

It is an emirp because it is prime and its reverse (925501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105529 - 2¹ = 105527 is a prime.

It is a super-2 number, since 2×105529² = 22272739682, which contains 22 as substring.

Together with 105527, it forms a pair of twin primes.

105529 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (105527) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52764 + 52765.

It is an arithmetic number, because the mean of its divisors is an integer number (52765).

2¹⁰⁵⁵²⁹ is an apocalyptic number.

It is an amenable number.

105529 is a deficient number, since it is larger than the sum of its proper divisors (1).

105529 is an equidigital number, since it uses as much as digits as its factorization.

105529 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 105529 is about 324.8522741186. The cubic root of 105529 is about 47.2560344280.

The spelling of 105529 in words is "one hundred five thousand, five hundred twenty-nine".