105783 has 8 divisors (see below), whose sum is σ = 145008. Its totient is φ = 68544.

The previous prime is 105769. The next prime is 105817. The reversal of 105783 is 387501.

105783 is nontrivially palindromic in base 11.

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

It is not a de Polignac number, because 105783 - 2⁴ = 105767 is a prime.

It is a super-2 number, since 2×105783² = 22380086178, which contains 22 as substring.

105783 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105733) 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, 366 + ... + 587.

It is an arithmetic number, because the mean of its divisors is an integer number (18126).

2¹⁰⁵⁷⁸³ is an apocalyptic number.

105783 is a deficient number, since it is larger than the sum of its proper divisors (39225).

105783 is an equidigital number, since it uses as much as digits as its factorization.

105783 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 105783 is about 325.2429860889. The cubic root of 105783 is about 47.2939179023.

It can be divided in two parts, 105 and 783, that multiplied together give a triangular number (82215 = T₄₀₅).

The spelling of 105783 in words is "one hundred five thousand, seven hundred eighty-three".