106216 has 32 divisors (see below), whose sum is σ = 233280. Its totient is φ = 44800.

The previous prime is 106213. The next prime is 106217. The reversal of 106216 is 612601.

It is a super-2 number, since 2×106216² = 22563677312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106216.

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, 1461 + ... + 1531.

It is an arithmetic number, because the mean of its divisors is an integer number (7290).

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 106216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116640).

106216 is an abundant number, since it is smaller than the sum of its proper divisors (127064).

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

106216 is a wasteful number, since it uses less digits than its factorization.

106216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 106216 is about 325.9079624679. The cubic root of 106216 is about 47.3583592230.

Adding to 106216 its reverse (612601), we get a palindrome (718817).

It can be divided in two parts, 10 and 6216, that added together give a palindrome (6226).

The spelling of 106216 in words is "one hundred six thousand, two hundred sixteen".