105905 has 8 divisors (see below), whose sum is σ = 129600. Its totient is φ = 83056.

The previous prime is 105899. The next prime is 105907. The reversal of 105905 is 509501.

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

It is a cyclic number.

It is not a de Polignac number, because 105905 - 2⁸ = 105649 is a prime.

It is a super-2 number, since 2×105905² = 22431738050, which contains 22 as substring.

It is a Curzon number.

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 105905.

It is not an unprimeable number, because it can be changed into a prime (105907) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116 + ... + 474.

It is an arithmetic number, because the mean of its divisors is an integer number (16200).

2¹⁰⁵⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

105905 is a deficient number, since it is larger than the sum of its proper divisors (23695).

105905 is an equidigital number, since it uses as much as digits as its factorization.

105905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423.

The product of its (nonzero) digits is 225, while the sum is 20.

The square root of 105905 is about 325.4304841283. The cubic root of 105905 is about 47.3120923452.

The spelling of 105905 in words is "one hundred five thousand, nine hundred five".