11008305 has 80 divisors (see below), whose sum is σ = 24672384. Its totient is φ = 4561920.

The previous prime is 11008297. The next prime is 11008307. The reversal of 11008305 is 50380011.

It is a happy number.

It is not a de Polignac number, because 11008305 - 2³ = 11008297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11008307) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31009 + ... + 31361.

Almost surely, 2^11008305 is an apocalyptic number.

11008305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11008305 is an abundant number, since it is smaller than the sum of its proper divisors (13664079).

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

11008305 is a wasteful number, since it uses less digits than its factorization.

11008305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 11008305 is about 3317.8765799830. The cubic root of 11008305 is about 222.4539651426.

Adding to 11008305 its reverse (50380011), we get a palindrome (61388316).

The spelling of 11008305 in words is "eleven million, eight thousand, three hundred five".