10820056 has 48 divisors (see below), whose sum is σ = 22530960. Its totient is φ = 4867200.

The previous prime is 10820053. The next prime is 10820057. The reversal of 10820056 is 65002801.

It is a happy number.

It is a super-2 number, since 2×10820056² = 234147223686272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10820053) 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 11 ways as a sum of consecutive naturals, for example, 71581 + ... + 71731.

It is an arithmetic number, because the mean of its divisors is an integer number (469395).

Almost surely, 2^10820056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10820056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11265480).

10820056 is an abundant number, since it is smaller than the sum of its proper divisors (11710904).

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

10820056 is a wasteful number, since it uses less digits than its factorization.

10820056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 10820056 is about 3289.3853529193. The cubic root of 10820056 is about 221.1786329665.

Adding to 10820056 its reverse (65002801), we get a palindrome (75822857).

It can be divided in two parts, 108 and 20056, that added together give a square (20164 = 142²).

The spelling of 10820056 in words is "ten million, eight hundred twenty thousand, fifty-six".