105843 has 4 divisors (see below), whose sum is σ = 141128. Its totient is φ = 70560.

The previous prime is 105829. The next prime is 105863. The reversal of 105843 is 348501.

105843 is nontrivially palindromic in base 2.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 348501 = 3 ⋅116167.

It is not a de Polignac number, because 105843 - 2⁹ = 105331 is a prime.

It is a super-2 number, since 2×105843² = 22405481298, which contains 22 as substring.

It is a D-number.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105843.

It is not an unprimeable number, because it can be changed into a prime (105863) 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, 17638 + ... + 17643.

It is an arithmetic number, because the mean of its divisors is an integer number (35282).

2¹⁰⁵⁸⁴³ is an apocalyptic number.

105843 is a deficient number, since it is larger than the sum of its proper divisors (35285).

105843 is an equidigital number, since it uses as much as digits as its factorization.

105843 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35284.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 105843 is about 325.3352117432. The cubic root of 105843 is about 47.3028578982.

The spelling of 105843 in words is "one hundred five thousand, eight hundred forty-three".