11000106 has 48 divisors (see below), whose sum is σ = 26568360. Its totient is φ = 3265920.

The previous prime is 11000089. The next prime is 11000111. The reversal of 11000106 is 60100011.

It can be written as a sum of positive squares in 4 ways, for example, as 9054081 + 1946025 = 3009^2 + 1395^2 .

It is a super-2 number, since 2×11000106² = 242004664022472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 23 ways as a sum of consecutive naturals, for example, 5976 + ... + 7596.

Almost surely, 2^11000106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13284180).

11000106 is an abundant number, since it is smaller than the sum of its proper divisors (15568254).

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

11000106 is a wasteful number, since it uses less digits than its factorization.

11000106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 11000106 is about 3316.6407704182. The cubic root of 11000106 is about 222.3987234240.

Adding to 11000106 its reverse (60100011), we get a palindrome (71100117).

The spelling of 11000106 in words is "eleven million, one hundred six", and thus it is an aban number.