10536 has 16 divisors (see below), whose sum is σ = 26400.
Its totient is φ = 3504.
The previous prime is 10531. The next prime is 10559. The reversal of 10536 is 63501.
It can be divided in two parts, 105 and 36, that added together give a palindrome (141).
10536 = T28 + T29 + ... +
It is a super-2 number, since 2×105362 = 222014592, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (10531) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 196 + ... + 243.
It is an arithmetic number, because the mean of its divisors is an integer number (1650).
210536 is an apocalyptic number.
It is an amenable number.
10536 is an abundant number, since it is smaller than the sum of its proper divisors (15864).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13200).
10536 is a wasteful number, since it uses less digits than its factorization.
10536 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 448 (or 444 counting only the distinct ones).
The product of its (nonzero) digits is 90, while the sum is 15.
The square root of 10536 is about 102.6450193629.
The cubic root of 10536 is about 21.9225929765.
The spelling of 10536 in words is "ten thousand, five hundred thirty-six".