10205235 has 12 divisors (see below), whose sum is σ = 17689152. Its totient is φ = 5442768.

The previous prime is 10205227. The next prime is 10205243. The reversal of 10205235 is 53250201.

It is a happy number.

10205235 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10205227) and next prime (10205243).

It is not a de Polignac number, because 10205235 - 2³ = 10205227 is a prime.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 113347 + ... + 113436.

It is an arithmetic number, because the mean of its divisors is an integer number (1474096).

Almost surely, 2^10205235 is an apocalyptic number.

10205235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10205235 is a deficient number, since it is larger than the sum of its proper divisors (7483917).

10205235 is a wasteful number, since it uses less digits than its factorization.

10205235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226794 (or 226791 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 10205235 is about 3194.5633504440. The cubic root of 10205235 is about 216.9073840083.

Adding to 10205235 its reverse (53250201), we get a palindrome (63455436).

It can be divided in two parts, 10205 and 235, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 10205235 in words is "ten million, two hundred five thousand, two hundred thirty-five".