212106 has 32 divisors (see below), whose sum is σ = 466560. Its totient is φ = 64064.

The previous prime is 212099. The next prime is 212117. The reversal of 212106 is 601212.

212106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212091 and 212100.

It is an unprimeable number.

212106 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3976 + ... + 4028.

It is an arithmetic number, because the mean of its divisors is an integer number (14580).

2²¹²¹⁰⁶ is an apocalyptic number.

212106 is an abundant number, since it is smaller than the sum of its proper divisors (254454).

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

212106 is a wasteful number, since it uses less digits than its factorization.

212106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 212106 is about 460.5496715882. The cubic root of 212106 is about 59.6372558082.

Adding to 212106 its reverse (601212), we get a palindrome (813318).

It can be divided in two parts, 21210 and 6, that multiplied together give a triangular number (127260 = T₅₀₄).

The spelling of 212106 in words is "two hundred twelve thousand, one hundred six".