198105 has 16 divisors (see below), whose sum is σ = 324864. Its totient is φ = 103040.

The previous prime is 198097. The next prime is 198109. The reversal of 198105 is 501891.

198105 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 198105 - 2³ = 198097 is a prime.

198105 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 198105.

It is not an unprimeable number, because it can be changed into a prime (198109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 565 + ... + 845.

It is an arithmetic number, because the mean of its divisors is an integer number (20304).

2¹⁹⁸¹⁰⁵ is an apocalyptic number.

198105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

198105 is a deficient number, since it is larger than the sum of its proper divisors (126759).

198105 is a wasteful number, since it uses less digits than its factorization.

198105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336.

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

The square root of 198105 is about 445.0898785639. The cubic root of 198105 is about 58.2950678747.

Adding to 198105 its reverse (501891), we get a palindrome (699996).

It can be divided in two parts, 198 and 105, that added together give a palindrome (303).

The spelling of 198105 in words is "one hundred ninety-eight thousand, one hundred five".