189105 has 16 divisors (see below), whose sum is σ = 345984. Its totient is φ = 86400.

The previous prime is 189067. The next prime is 189127. The reversal of 189105 is 501981.

189105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 189105 - 2⁶ = 189041 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 796 + ... + 1005.

It is an arithmetic number, because the mean of its divisors is an integer number (21624).

2¹⁸⁹¹⁰⁵ is an apocalyptic number.

189105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

189105 is a deficient number, since it is larger than the sum of its proper divisors (156879).

189105 is a wasteful number, since it uses less digits than its factorization.

189105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816.

The product of its (nonzero) digits is 360, while the sum is 24.

The square root of 189105 is about 434.8620470908. The cubic root of 189105 is about 57.3985609112.

It can be divided in two parts, 18910 and 5, that added together give a triangular number (18915 = T₁₉₄).

The spelling of 189105 in words is "one hundred eighty-nine thousand, one hundred five".