10506 has 16 divisors (see below), whose sum is σ = 22464. Its totient is φ = 3264.

The previous prime is 10501. The next prime is 10513. The reversal of 10506 is 60501.

It is a super-2 number, since 2×10506² = 220752072, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10491 and 10500.

It is not an unprimeable number, because it can be changed into a prime (10501) by changing a digit.

10506 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 51 + ... + 153.

It is an arithmetic number, because the mean of its divisors is an integer number (1404).

It is a pronic number, being equal to 102×103.

10506 is an abundant number, since it is smaller than the sum of its proper divisors (11958).

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 (11232).

10506 is a wasteful number, since it uses less digits than its factorization.

10506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 10506 is about 102.4987804806. The cubic root of 10506 is about 21.9017658758.

The spelling of 10506 in words is "ten thousand, five hundred six".