105605946 has 24 divisors (see below), whose sum is σ = 229013460. Its totient is φ = 35171136.

The previous prime is 105605939. The next prime is 105605993. The reversal of 105605946 is 649506501.

105605946 is a `hidden beast` number, since 1 + 0 + 5 + 60 + 594 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98903025 + 6702921 = 9945^2 + 2589^2 .

It is a super-3 number, since 3×105605946³ (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 105605946.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29046 + ... + 32478.

Almost surely, 2^105605946 is an apocalyptic number.

105605946 is an abundant number, since it is smaller than the sum of its proper divisors (123407514).

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

105605946 is a wasteful number, since it uses less digits than its factorization.

105605946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5150 (or 5147 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 105605946 is about 10276.4753685298. The cubic root of 105605946 is about 472.6751714656.

The spelling of 105605946 in words is "one hundred five million, six hundred five thousand, nine hundred forty-six".