10135305 has 24 divisors (see below), whose sum is σ = 17796480. Its totient is φ = 5335200.

The previous prime is 10135289. The next prime is 10135313. The reversal of 10135305 is 50353101.

It is a happy number.

It is not a de Polignac number, because 10135305 - 2⁴ = 10135289 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2130 + ... + 4980.

It is an arithmetic number, because the mean of its divisors is an integer number (741520).

Almost surely, 2^10135305 is an apocalyptic number.

10135305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10135305 is a deficient number, since it is larger than the sum of its proper divisors (7661175).

10135305 is a wasteful number, since it uses less digits than its factorization.

10135305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 10135305 is about 3183.5993780625. The cubic root of 10135305 is about 216.4108051386.

Adding to 10135305 its reverse (50353101), we get a palindrome (60488406).

It can be divided in two parts, 10135 and 305, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 10135305 in words is "ten million, one hundred thirty-five thousand, three hundred five".