106081866 has 64 divisors (see below), whose sum is σ = 258508800. Its totient is φ = 31978800.

The previous prime is 106081861. The next prime is 106081873. The reversal of 106081866 is 668180601.

It is a super-3 number, since 3×106081866³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 106081866.

It is not an unprimeable number, because it can be changed into a prime (106081861) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 160645 + ... + 161303.

It is an arithmetic number, because the mean of its divisors is an integer number (4039200).

Almost surely, 2^106081866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106081866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129254400).

106081866 is an abundant number, since it is smaller than the sum of its proper divisors (152426934).

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

106081866 is a wasteful number, since it uses less digits than its factorization.

106081866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 946 counting only the distinct ones).

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

The square root of 106081866 is about 10299.6051380623. The cubic root of 106081866 is about 473.3841545423.

The spelling of 106081866 in words is "one hundred six million, eighty-one thousand, eight hundred sixty-six".