2106800 has 60 divisors (see below), whose sum is σ = 5304720. Its totient is φ = 802560.

The previous prime is 2106781. The next prime is 2106809. The reversal of 2106800 is 86012.

It is not an unprimeable number, because it can be changed into a prime (2106809) 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 11 ways as a sum of consecutive naturals, for example, 9086 + ... + 9314.

It is an arithmetic number, because the mean of its divisors is an integer number (88412).

2^2106800 is an apocalyptic number.

2106800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2652360).

2106800 is an abundant number, since it is smaller than the sum of its proper divisors (3197920).

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

2106800 is a wasteful number, since it uses less digits than its factorization.

2106800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 2106800 is about 1451.4820012663. The cubic root of 2106800 is about 128.1959888186.

The spelling of 2106800 in words is "two million, one hundred six thousand, eight hundred".