10205261 has 24 divisors (see below), whose sum is σ = 12384960. Its totient is φ = 8363520.

The previous prime is 10205257. The next prime is 10205291. The reversal of 10205261 is 16250201.

It is not a de Polignac number, because 10205261 - 2² = 10205257 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52781 + ... + 52973.

It is an arithmetic number, because the mean of its divisors is an integer number (516040).

Almost surely, 2^10205261 is an apocalyptic number.

10205261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10205261 is a deficient number, since it is larger than the sum of its proper divisors (2179699).

10205261 is a wasteful number, since it uses less digits than its factorization.

10205261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 10205261 is about 3194.5674198552. The cubic root of 10205261 is about 216.9075682140.

Adding to 10205261 its reverse (16250201), we get a palindrome (26455462).

The spelling of 10205261 in words is "ten million, two hundred five thousand, two hundred sixty-one".