106816086 has 48 divisors (see below), whose sum is σ = 250273296. Its totient is φ = 32730048.

The previous prime is 106816057. The next prime is 106816097. The reversal of 106816086 is 680618601.

It is a super-2 number, since 2×106816086² = 22819352456718792, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 106816086.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65416 + ... + 67028.

It is an arithmetic number, because the mean of its divisors is an integer number (5214027).

Almost surely, 2^106816086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106816086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125136648).

106816086 is an abundant number, since it is smaller than the sum of its proper divisors (143457210).

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

106816086 is a wasteful number, since it uses less digits than its factorization.

106816086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 106816086 is about 10335.1867907648. The cubic root of 106816086 is about 474.4737825394.

The spelling of 106816086 in words is "one hundred six million, eight hundred sixteen thousand, eighty-six".