201105 has 24 divisors (see below), whose sum is σ = 360360. Its totient is φ = 103680.

The previous prime is 201101. The next prime is 201107. The reversal of 201105 is 501102.

201105 = 3² + 4² + ... + 84².

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3969 + 197136 = 63^2 + 444^2 .

It is not a de Polignac number, because 201105 - 2² = 201101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1791 + ... + 1899.

It is an arithmetic number, because the mean of its divisors is an integer number (15015).

2²⁰¹¹⁰⁵ is an apocalyptic number.

It is an amenable number.

201105 is a deficient number, since it is larger than the sum of its proper divisors (159255).

201105 is a wasteful number, since it uses less digits than its factorization.

201105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 201105 is about 448.4473213210. The cubic root of 201105 is about 58.5878583409.

Adding to 201105 its reverse (501102), we get a palindrome (702207).

The spelling of 201105 in words is "two hundred one thousand, one hundred five".