10135 has 4 divisors (see below), whose sum is σ = 12168. Its totient is φ = 8104.

The previous prime is 10133. The next prime is 10139. The reversal of 10135 is 53101.

10135 = 43² + 44² + ... + 47².

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 10135 - 2¹ = 10133 is a prime.

It is a Duffinian number.

10135 is a modest number, since divided by 135 gives 10 as remainder.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1009 + ... + 1018.

It is an arithmetic number, because the mean of its divisors is an integer number (3042).

10135 is a deficient number, since it is larger than the sum of its proper divisors (2033).

10135 is an equidigital number, since it uses as much as digits as its factorization.

10135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032.

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 10135 is about 100.6727371238. The cubic root of 10135 is about 21.6408634312.

Adding to 10135 its reverse (53101), we get a palindrome (63236).

It can be divided in two parts, 101 and 35, that added together give a triangular number (136 = T₁₆).

The spelling of 10135 in words is "ten thousand, one hundred thirty-five".