105535 has 4 divisors (see below), whose sum is σ = 126648. Its totient is φ = 84424.

The previous prime is 105533. The next prime is 105541. The reversal of 105535 is 535501.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 105535 - 2¹ = 105533 is a prime.

It is a super-2 number, since 2×105535² = 22275272450, which contains 22 as substring.

It is a Duffinian number.

105535 is a lucky number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105533) 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 in 3 ways as a sum of consecutive naturals, for example, 10549 + ... + 10558.

It is an arithmetic number, because the mean of its divisors is an integer number (31662).

2¹⁰⁵⁵³⁵ is an apocalyptic number.

105535 is a deficient number, since it is larger than the sum of its proper divisors (21113).

105535 is an equidigital number, since it uses as much as digits as its factorization.

105535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21112.

The product of its (nonzero) digits is 375, while the sum is 19.

The square root of 105535 is about 324.8615089542. The cubic root of 105535 is about 47.2569300138.

The spelling of 105535 in words is "one hundred five thousand, five hundred thirty-five".