11006200 has 48 divisors (see below), whose sum is σ = 25868880. Its totient is φ = 4354560.

The previous prime is 11006161. The next prime is 11006243. The reversal of 11006200 is 260011.

It is a super-2 number, since 2×11006200² = 242272876880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22357 + ... + 22843.

It is an arithmetic number, because the mean of its divisors is an integer number (538935).

Almost surely, 2^11006200 is an apocalyptic number.

11006200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11006200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12934440).

11006200 is an abundant number, since it is smaller than the sum of its proper divisors (14862680).

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

11006200 is a wasteful number, since it uses less digits than its factorization.

11006200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 11006200 is about 3317.5593438551. The cubic root of 11006200 is about 222.4397850775.

Adding to 11006200 its reverse (260011), we get a palindrome (11266211).

The spelling of 11006200 in words is "eleven million, six thousand, two hundred".