11000205 has 40 divisors (see below), whose sum is σ = 19959192. Its totient is φ = 5795712.

The previous prime is 11000189. The next prime is 11000273. The reversal of 11000205 is 50200011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2125764 + 8874441 = 1458^2 + 2979^2 .

It is not a de Polignac number, because 11000205 - 2⁴ = 11000189 is a prime.

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

11000205 is a modest number, since divided by 205 gives 110 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 63499 + ... + 63671.

Almost surely, 2^11000205 is an apocalyptic number.

11000205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11000205 is a deficient number, since it is larger than the sum of its proper divisors (8958987).

11000205 is a wasteful number, since it uses less digits than its factorization.

11000205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 338 counting only the distinct ones).

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

The square root of 11000205 is about 3316.6556951242. The cubic root of 11000205 is about 222.3993906117.

Adding to 11000205 its reverse (50200011), we get a palindrome (61200216).

The spelling of 11000205 in words is "eleven million, two hundred five", and thus it is an aban number.