105835 has 8 divisors (see below), whose sum is σ = 129456. Its totient is φ = 83040.

The previous prime is 105829. The next prime is 105863. The reversal of 105835 is 538501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105835 - 2⁹ = 105323 is a prime.

It is a super-2 number, since 2×105835² = 22402094450, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 132 + ... + 478.

It is an arithmetic number, because the mean of its divisors is an integer number (16182).

2¹⁰⁵⁸³⁵ is an apocalyptic number.

105835 is a deficient number, since it is larger than the sum of its proper divisors (23621).

105835 is an equidigital number, since it uses as much as digits as its factorization.

105835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413.

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 105835 is about 325.3229164999. The cubic root of 105835 is about 47.3016660940.

The spelling of 105835 in words is "one hundred five thousand, eight hundred thirty-five".