105797 has 4 divisors (see below), whose sum is σ = 108096. Its totient is φ = 103500.

The previous prime is 105769. The next prime is 105817. The reversal of 105797 is 797501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 797501 = 67 ⋅11903.

It is a cyclic number.

It is not a de Polignac number, because 105797 - 2⁶ = 105733 is a prime.

It is a super-2 number, since 2×105797² = 22386010418, 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 (105727) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1079 + ... + 1172.

It is an arithmetic number, because the mean of its divisors is an integer number (27024).

2¹⁰⁵⁷⁹⁷ is an apocalyptic number.

It is an amenable number.

105797 is a deficient number, since it is larger than the sum of its proper divisors (2299).

105797 is an equidigital number, since it uses as much as digits as its factorization.

105797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298.

The product of its (nonzero) digits is 2205, while the sum is 29.

The square root of 105797 is about 325.2645077472. The cubic root of 105797 is about 47.2960042037.

It can be divided in two parts, 10 and 5797, that multiplied together give a triangular number (57970 = T₃₄₀).

The spelling of 105797 in words is "one hundred five thousand, seven hundred ninety-seven".