1105605666 has 64 divisors (see below), whose sum is σ = 2684188800. Its totient is φ = 334540800.

The previous prime is 1105605629. The next prime is 1105605671. The reversal of 1105605666 is 6665065011.

It is a self number, because there is not a number n which added to its sum of digits gives 1105605666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 783970 + ... + 785378.

It is an arithmetic number, because the mean of its divisors is an integer number (41940450).

Almost surely, 2^1105605666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1105605666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342094400).

1105605666 is an abundant number, since it is smaller than the sum of its proper divisors (1578583134).

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

1105605666 is a wasteful number, since it uses less digits than its factorization.

1105605666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2752 (or 2746 counting only the distinct ones).

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

The square root of 1105605666 is about 33250.6491064460. The cubic root of 1105605666 is about 1034.0306656475.

The spelling of 1105605666 in words is "one billion, one hundred five million, six hundred five thousand, six hundred sixty-six".