2106006 has 32 divisors (see below), whose sum is σ = 4935168. Its totient is φ = 586560.

The previous prime is 2105993. The next prime is 2106019. The reversal of 2106006 is 6006012.

It is an interprime number because it is at equal distance from previous prime (2105993) and next prime (2106019).

It is a super-2 number, since 2×2106006² = 8870522544072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable 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, 1111 + ... + 2333.

It is an arithmetic number, because the mean of its divisors is an integer number (154224).

2^2106006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467584).

2106006 is an abundant number, since it is smaller than the sum of its proper divisors (2829162).

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

2106006 is a wasteful number, since it uses less digits than its factorization.

2106006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2106006 is about 1451.2084619378. The cubic root of 2106006 is about 128.1798821790.

It can be divided in two parts, 210 and 6006, that added together give a triangular number (6216 = T₁₁₁).

The spelling of 2106006 in words is "two million, one hundred six thousand, six".