10505205 has 24 divisors (see below), whose sum is σ = 18600192. Its totient is φ = 5482464.

The previous prime is 10505179. The next prime is 10505207. The reversal of 10505205 is 50250501.

10505205 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10505205 - 2⁶ = 10505141 is a prime.

It is a super-2 number, since 2×10505205² = 220718664184050, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 369 + ... + 4598.

It is an arithmetic number, because the mean of its divisors is an integer number (775008).

Almost surely, 2^10505205 is an apocalyptic number.

10505205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10505205 is a deficient number, since it is larger than the sum of its proper divisors (8094987).

10505205 is a wasteful number, since it uses less digits than its factorization.

10505205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5025 (or 5022 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 10505205 is about 3241.1733986320. The cubic root of 10505205 is about 219.0121341872.

Adding to 10505205 its reverse (50250501), we get a palindrome (60755706).

It can be divided in two parts, 1050520 and 5, that added together give a triangular number (1050525 = T₁₄₄₉).

The spelling of 10505205 in words is "ten million, five hundred five thousand, two hundred five".