105969 has 4 divisors (see below), whose sum is σ = 141296. Its totient is φ = 70644.

The previous prime is 105967. The next prime is 105971. The reversal of 105969 is 969501.

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.

It is an interprime number because it is at equal distance from previous prime (105967) and next prime (105971).

It is not a de Polignac number, because 105969 - 2¹ = 105967 is a prime.

It is a super-2 number, since 2×105969² = 22458857922, which contains 22 as substring.

It is a D-number.

It is a Duffinian number.

105969 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (105967) 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, 17659 + ... + 17664.

It is an arithmetic number, because the mean of its divisors is an integer number (35324).

2¹⁰⁵⁹⁶⁹ is an apocalyptic number.

It is an amenable number.

105969 is a deficient number, since it is larger than the sum of its proper divisors (35327).

105969 is an equidigital number, since it uses as much as digits as its factorization.

105969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35326.

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 105969 is about 325.5288005692. The cubic root of 105969 is about 47.3216208980.

It can be divided in two parts, 1059 and 69, that added together give a triangular number (1128 = T₄₇).

The spelling of 105969 in words is "one hundred five thousand, nine hundred sixty-nine".