11205 has 16 divisors (see below), whose sum is σ = 20160. Its totient is φ = 5904.

The previous prime is 11197. The next prime is 11213. The reversal of 11205 is 50211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11197) and next prime (11213).

It is not a de Polignac number, because 11205 - 2³ = 11197 is a prime.

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

11205 is a lucky number.

It is a plaindrome in base 7.

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, 94 + ... + 176.

It is an arithmetic number, because the mean of its divisors is an integer number (1260).

2¹¹²⁰⁵ is an apocalyptic number.

11205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11205 is a deficient number, since it is larger than the sum of its proper divisors (8955).

11205 is an equidigital number, since it uses as much as digits as its factorization.

11205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 91 counting only the distinct ones).

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

The square root of 11205 is about 105.8536725863. The cubic root of 11205 is about 22.3771077777.

Adding to 11205 its reverse (50211), we get a palindrome (61416).

It can be divided in two parts, 11 and 205, that added together give a cube (216 = 6³).

The spelling of 11205 in words is "eleven thousand, two hundred five".