20010 has 32 divisors (see below), whose sum is σ = 51840. Its totient is φ = 4928.

The previous prime is 19997. The next prime is 20011. The reversal of 20010 is 1002.

20010 is nontrivially palindromic in base 9 and base 11.

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

20010 is an undulating number in base 12.

It is a plaindrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 19977 and 20004.

It is not an unprimeable number, because it can be changed into a prime (20011) by changing a digit.

20010 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 (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 676 + ... + 704.

It is an arithmetic number, because the mean of its divisors is an integer number (1620).

2²⁰⁰¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25920).

20010 is an abundant number, since it is smaller than the sum of its proper divisors (31830).

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

20010 is a wasteful number, since it uses less digits than its factorization.

20010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62.

The product of its (nonzero) digits is 2, while the sum is 3.

The square root of 20010 is about 141.4567071581. The cubic root of 20010 is about 27.1486994415.

Adding to 20010 its reverse (1002), we get a palindrome (21012).

It can be divided in two parts, 200 and 10, that added together give a triangular number (210 = T₂₀).

The spelling of 20010 in words is "twenty thousand, ten", and thus it is an iban number.