2106216 has 96 divisors (see below), whose sum is σ = 6840000. Its totient is φ = 598752.

The previous prime is 2106199. The next prime is 2106217. The reversal of 2106216 is 6126012.

It is a happy number.

It is a super-2 number, since 2×2106216² = 8872291677312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2106217) 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 23 ways as a sum of consecutive naturals, for example, 10485 + ... + 10683.

It is an arithmetic number, because the mean of its divisors is an integer number (71250).

2^2106216 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 2106216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3420000).

2106216 is an abundant number, since it is smaller than the sum of its proper divisors (4733784).

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

2106216 is a wasteful number, since it uses less digits than its factorization.

2106216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2106216 is about 1451.2808136264. The cubic root of 2106216 is about 128.1841425152.

The spelling of 2106216 in words is "two million, one hundred six thousand, two hundred sixteen".