105819966 has 64 divisors (see below), whose sum is σ = 270927360. Its totient is φ = 29989440.

The previous prime is 105819913. The next prime is 105819977. The reversal of 105819966 is 669918501.

105819966 is a `hidden beast` number, since 1 + 0 + 581 + 9 + 9 + 66 = 666.

It is a super-2 number, since 2×105819966² = 22395730408482312, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48450 + ... + 50586.

It is an arithmetic number, because the mean of its divisors is an integer number (4233240).

Almost surely, 2^105819966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105819966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135463680).

105819966 is an abundant number, since it is smaller than the sum of its proper divisors (165107394).

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

105819966 is a wasteful number, since it uses less digits than its factorization.

105819966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 105819966 is about 10286.8832014367. The cubic root of 105819966 is about 472.9942623342.

The spelling of 105819966 in words is "one hundred five million, eight hundred nineteen thousand, nine hundred sixty-six".