10135320 has 128 divisors (see below), whose sum is σ = 33566400. Its totient is φ = 2433024.

The previous prime is 10135319. The next prime is 10135327. The reversal of 10135320 is 2353101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10135320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10135327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 113836 + ... + 113924.

Almost surely, 2^10135320 is an apocalyptic number.

10135320 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 10135320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16783200).

10135320 is an abundant number, since it is smaller than the sum of its proper divisors (23431080).

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

10135320 is a wasteful number, since it uses less digits than its factorization.

10135320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 10135320 is about 3183.6017338857. The cubic root of 10135320 is about 216.4109118994.

Adding to 10135320 its reverse (2353101), we get a palindrome (12488421).

The spelling of 10135320 in words is "ten million, one hundred thirty-five thousand, three hundred twenty".