1105965666 has 96 divisors (see below), whose sum is σ = 2632069440. Its totient is φ = 333590400.

The previous prime is 1105965643. The next prime is 1105965667. The reversal of 1105965666 is 6665695011.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1105965667) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3341121 + ... + 3341451.

It is an arithmetic number, because the mean of its divisors is an integer number (27417390).

Almost surely, 2^1105965666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1105965666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316034720).

1105965666 is an abundant number, since it is smaller than the sum of its proper divisors (1526103774).

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

1105965666 is a wasteful number, since it uses less digits than its factorization.

1105965666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 1105965666 is about 33256.0620940002. The cubic root of 1105965666 is about 1034.1428848757.

The spelling of 1105965666 in words is "one billion, one hundred five million, nine hundred sixty-five thousand, six hundred sixty-six".