10205 has 8 divisors (see below), whose sum is σ = 13272. Its totient is φ = 7488.

The previous prime is 10193. The next prime is 10211. The reversal of 10205 is 50201.

10205 = T₁₄ + T₁₅ + ... + T₃₉.

10205 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 4 ways, for example, as 4 + 10201 = 2^2 + 101^2 .

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

It is not a de Polignac number, because 10205 - 2⁶ = 10141 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 3, base 9 and base 16.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 10192 and 10201.

It is a congruent 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, 14 + ... + 143.

It is an arithmetic number, because the mean of its divisors is an integer number (1659).

2¹⁰²⁰⁵ is an apocalyptic number.

It is an amenable number.

10205 is a deficient number, since it is larger than the sum of its proper divisors (3067).

10205 is a wasteful number, since it uses less digits than its factorization.

10205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175.

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 10205 is about 101.0198000394. The cubic root of 10205 is about 21.6905719058.

Adding to 10205 its reverse (50201), we get a palindrome (60406).

The spelling of 10205 in words is "ten thousand, two hundred five".