11006010 has 32 divisors (see below), whose sum is σ = 29350080. Its totient is φ = 2934864.

The previous prime is 11005957. The next prime is 11006011. The reversal of 11006010 is 1060011.

It is a super-2 number, since 2×11006010² = 242264512240200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11005983 and 11006001.

It is not an unprimeable number, because it can be changed into a prime (11006011) by changing a digit.

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, 20112 + ... + 20651.

It is an arithmetic number, because the mean of its divisors is an integer number (917190).

Almost surely, 2^11006010 is an apocalyptic number.

11006010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11006010 is an abundant number, since it is smaller than the sum of its proper divisors (18344070).

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

11006010 is a wasteful number, since it uses less digits than its factorization.

11006010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40779 (or 40773 counting only the distinct ones).

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

The square root of 11006010 is about 3317.5307082226. The cubic root of 11006010 is about 222.4385050776.

Adding to 11006010 its reverse (1060011), we get a palindrome (12066021).

The spelling of 11006010 in words is "eleven million, six thousand, ten".