106416216 has 96 divisors (see below), whose sum is σ = 303264000. Its totient is φ = 33646272.

The previous prime is 106416179. The next prime is 106416227. The reversal of 106416216 is 612614601.

106416216 is a `hidden beast` number, since 1 + 0 + 641 + 6 + 2 + 16 = 666.

It is a super-2 number, since 2×106416216² = 22648822055517312, 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 106416216.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 296245 + ... + 296603.

It is an arithmetic number, because the mean of its divisors is an integer number (3159000).

Almost surely, 2^106416216 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 106416216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151632000).

106416216 is an abundant number, since it is smaller than the sum of its proper divisors (196847784).

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

106416216 is a wasteful number, since it uses less digits than its factorization.

106416216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 106416216 is about 10315.8235735204. The cubic root of 106416216 is about 473.8809720891.

The spelling of 106416216 in words is "one hundred six million, four hundred sixteen thousand, two hundred sixteen".