105889 has 6 divisors (see below), whose sum is σ = 123234. Its totient is φ = 90720.

The previous prime is 105883. The next prime is 105899. The reversal of 105889 is 988501.

It can be written as a sum of positive squares in only one way, i.e., 94864 + 11025 = 308^2 + 105^2 .

It is not a de Polignac number, because 105889 - 2⁷ = 105761 is a prime.

It is a super-2 number, since 2×105889² = 22424960642, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105889.

It is not an unprimeable number, because it can be changed into a prime (105883) 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, 1032 + ... + 1129.

It is an arithmetic number, because the mean of its divisors is an integer number (20539).

2¹⁰⁵⁸⁸⁹ is an apocalyptic number.

It is an amenable number.

105889 is a deficient number, since it is larger than the sum of its proper divisors (17345).

105889 is an equidigital number, since it uses as much as digits as its factorization.

105889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 31.

The square root of 105889 is about 325.4059003767. The cubic root of 105889 is about 47.3097096072.

The spelling of 105889 in words is "one hundred five thousand, eight hundred eighty-nine".