106212 has 24 divisors (see below), whose sum is σ = 254016. Its totient is φ = 34528.

The previous prime is 106207. The next prime is 106213. The reversal of 106212 is 212601.

It is a super-2 number, since 2×106212² = 22561977888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106212.

It is not an unprimeable number, because it can be changed into a prime (106213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 553 + ... + 719.

It is an arithmetic number, because the mean of its divisors is an integer number (10584).

2¹⁰⁶²¹² is an apocalyptic number.

106212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106212 is an abundant number, since it is smaller than the sum of its proper divisors (147804).

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

106212 is a wasteful number, since it uses less digits than its factorization.

106212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 225 counting only the distinct ones).

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

The square root of 106212 is about 325.9018257083. The cubic root of 106212 is about 47.3577647244.

Adding to 106212 its reverse (212601), we get a palindrome (318813).

The spelling of 106212 in words is "one hundred six thousand, two hundred twelve".