181105 has 8 divisors (see below), whose sum is σ = 225000. Its totient is φ = 139776.

The previous prime is 181087. The next prime is 181123. The reversal of 181105 is 501181.

181105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (181087) and next prime (181123).

It can be written as a sum of positive squares in 4 ways, for example, as 14641 + 166464 = 121^2 + 408^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 181105 - 2¹¹ = 179057 is a prime.

181105 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 480 + ... + 769.

It is an arithmetic number, because the mean of its divisors is an integer number (28125).

2¹⁸¹¹⁰⁵ is an apocalyptic number.

It is an amenable number.

181105 is a deficient number, since it is larger than the sum of its proper divisors (43895).

181105 is a wasteful number, since it uses less digits than its factorization.

181105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283.

The product of its (nonzero) digits is 40, while the sum is 16.

The square root of 181105 is about 425.5643312121. The cubic root of 181105 is about 56.5774644227.

Adding to 181105 its reverse (501181), we get a palindrome (682286).

The spelling of 181105 in words is "one hundred eighty-one thousand, one hundred five".