11106666 has 32 divisors (see below), whose sum is σ = 24969600. Its totient is φ = 3659040.

The previous prime is 11106653. The next prime is 11106671. The reversal of 11106666 is 66660111.

It is a Harshad number since it is a multiple of its sum of digits (27).

11106666 is a modest number, since divided by 6666 gives 1110 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3651 + ... + 5961.

It is an arithmetic number, because the mean of its divisors is an integer number (780300).

Almost surely, 2^11106666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11106666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12484800).

11106666 is an abundant number, since it is smaller than the sum of its proper divisors (13862934).

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

11106666 is a wasteful number, since it uses less digits than its factorization.

11106666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 11106666 is about 3332.6664999667. Note that the first 3 decimals coincide. The cubic root of 11106666 is about 223.1145556865.

Adding to 11106666 its reverse (66660111), we get a palindrome (77766777).

It can be divided in two parts, 1110 and 6666, that added together give a 5-th power (7776 = 6⁵).

The spelling of 11106666 in words is "eleven million, one hundred six thousand, six hundred sixty-six".