164105216 has 88 divisors (see below), whose sum is σ = 379366416. Its totient is φ = 70123520.

The previous prime is 164105213. The next prime is 164105219. The reversal of 164105216 is 612501461.

It is an interprime number because it is at equal distance from previous prime (164105213) and next prime (164105219).

It is a tau number, because it is divible by the number of its divisors (88).

It is not an unprimeable number, because it can be changed into a prime (164105213) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 191060 + ... + 191916.

It is an arithmetic number, because the mean of its divisors is an integer number (4310982).

Almost surely, 2^164105216 is an apocalyptic number.

164105216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164105216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189683208).

164105216 is an abundant number, since it is smaller than the sum of its proper divisors (215261200).

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

164105216 is a wasteful number, since it uses less digits than its factorization.

164105216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 164105216 is about 12810.3558108274. The cubic root of 164105216 is about 547.4873996113.

Adding to 164105216 its reverse (612501461), we get a palindrome (776606677).

The spelling of 164105216 in words is "one hundred sixty-four million, one hundred five thousand, two hundred sixteen".