105773 has 6 divisors (see below), whose sum is σ = 112014. Its totient is φ = 99864.

The previous prime is 105769. The next prime is 105817. The reversal of 105773 is 377501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 104329 + 1444 = 323^2 + 38^2 .

It is not a de Polignac number, because 105773 - 2² = 105769 is a prime.

It is a super-2 number, since 2×105773² = 22375855058, which contains 22 as substring.

It is a Duffinian 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 polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 215 + ... + 507.

It is an arithmetic number, because the mean of its divisors is an integer number (18669).

2¹⁰⁵⁷⁷³ is an apocalyptic number.

It is an amenable number.

105773 is a deficient number, since it is larger than the sum of its proper divisors (6241).

105773 is an equidigital number, since it uses as much as digits as its factorization.

105773 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 735, while the sum is 23.

The square root of 105773 is about 325.2276126039. The cubic root of 105773 is about 47.2924275744.

It can be divided in two parts, 105 and 773, that added together give a palindrome (878).

The spelling of 105773 in words is "one hundred five thousand, seven hundred seventy-three".