2106820 has 12 divisors (see below), whose sum is σ = 4424364. Its totient is φ = 842720.

The previous prime is 2106809. The next prime is 2106829. The reversal of 2106820 is 286012.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 213444 + 1893376 = 462^2 + 1376^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106829) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 52651 + ... + 52690.

It is an arithmetic number, because the mean of its divisors is an integer number (368697).

2^2106820 is an apocalyptic number.

2106820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2106820 is an abundant number, since it is smaller than the sum of its proper divisors (2317544).

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

2106820 is a wasteful number, since it uses less digits than its factorization.

2106820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105350 (or 105348 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 2106820 is about 1451.4888907601. The cubic root of 2106820 is about 128.1963944751.

Adding to 2106820 its product of nonzero digits (192), we get a palindrome (2107012).

It can be divided in two parts, 2106 and 820, that added together give a triangular number (2926 = T₇₆).

The spelling of 2106820 in words is "two million, one hundred six thousand, eight hundred twenty".