105805566 has 48 divisors (see below), whose sum is σ = 251821440. Its totient is φ = 31957200.

The previous prime is 105805519. The next prime is 105805613. The reversal of 105805566 is 665508501.

105805566 is a `hidden beast` number, since 10 + 5 + 80 + 5 + 566 = 666.

It is an interprime number because it is at equal distance from previous prime (105805519) and next prime (105805613).

It is a super-2 number, since 2×105805566² = 22389635593160712, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105805566.

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, 1141 + ... + 14591.

It is an arithmetic number, because the mean of its divisors is an integer number (5246280).

Almost surely, 2^105805566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105805566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125910720).

105805566 is an abundant number, since it is smaller than the sum of its proper divisors (146015874).

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

105805566 is a wasteful number, since it uses less digits than its factorization.

105805566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13501 (or 13498 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 105805566 is about 10286.1832571659. The cubic root of 105805566 is about 472.9728063128.

The spelling of 105805566 in words is "one hundred five million, eight hundred five thousand, five hundred sixty-six".