10135260 has 72 divisors (see below), whose sum is σ = 31763760. Its totient is φ = 2683008.

The previous prime is 10135259. The next prime is 10135261. The reversal of 10135260 is 6253101.

It is an interprime number because it is at equal distance from previous prime (10135259) and next prime (10135261).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10135261) 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, 73912 + ... + 74048.

Almost surely, 2^10135260 is an apocalyptic number.

10135260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10135260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15881880).

10135260 is an abundant number, since it is smaller than the sum of its proper divisors (21628500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10135260 is a wasteful number, since it uses less digits than its factorization.

10135260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10135260 is about 3183.5923105825. The cubic root of 10135260 is about 216.4104848555.

Adding to 10135260 its reverse (6253101), we get a palindrome (16388361).

The spelling of 10135260 in words is "ten million, one hundred thirty-five thousand, two hundred sixty".