11008010 has 48 divisors (see below), whose sum is σ = 22745016. Its totient is φ = 3812352.

The previous prime is 11008009. The next prime is 11008013. The reversal of 11008010 is 1080011.

11008010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 4541161 + 6466849 = 2131^2 + 2543^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11007982 and 11008000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11008013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37424 + ... + 37716.

Almost surely, 2^11008010 is an apocalyptic number.

11008010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11008010 is an abundant number, since it is smaller than the sum of its proper divisors (11737006).

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

11008010 is a wasteful number, since it uses less digits than its factorization.

11008010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 11008010 is about 3317.8321235409. The cubic root of 11008010 is about 222.4519780215.

Adding to 11008010 its reverse (1080011), we get a palindrome (12088021).

The spelling of 11008010 in words is "eleven million, eight thousand, ten".