105527 has 2 divisors, whose sum is σ = 105528. Its totient is φ = 105526.

The previous prime is 105517. The next prime is 105529. The reversal of 105527 is 725501.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105527 is a prime.

It is a super-2 number, since 2×105527² = 22271895458, which contains 22 as substring.

Together with 105529, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 105499 and 105508.

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 105527.

It is not a weakly prime, because it can be changed into another prime (105529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52763 + 52764.

It is an arithmetic number, because the mean of its divisors is an integer number (52764).

2¹⁰⁵⁵²⁷ is an apocalyptic number.

105527 is a deficient number, since it is larger than the sum of its proper divisors (1).

105527 is an equidigital number, since it uses as much as digits as its factorization.

105527 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 350, while the sum is 20.

The square root of 105527 is about 324.8491957817. The cubic root of 105527 is about 47.2557358919.

The spelling of 105527 in words is "one hundred five thousand, five hundred twenty-seven".