105819 has 8 divisors (see below), whose sum is σ = 161280. Its totient is φ = 60456.

The previous prime is 105817. The next prime is 105829. The reversal of 105819 is 918501.

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

It is not a de Polignac number, because 105819 - 2¹ = 105817 is a prime.

It is a super-2 number, since 2×105819² = 22395321522, which contains 22 as substring.

105819 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (105817) 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 7 ways as a sum of consecutive naturals, for example, 2499 + ... + 2540.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2¹⁰⁵⁸¹⁹ is an apocalyptic number.

105819 is a deficient number, since it is larger than the sum of its proper divisors (55461).

105819 is an equidigital number, since it uses as much as digits as its factorization.

105819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5049.

The product of its (nonzero) digits is 360, while the sum is 24.

The square root of 105819 is about 325.2983246191. The cubic root of 105819 is about 47.2992823054.

It can be divided in two parts, 1058 and 19, that multiplied together give a palindrome (20102).

The spelling of 105819 in words is "one hundred five thousand, eight hundred nineteen".