11005016 has 32 divisors (see below), whose sum is σ = 22809600. Its totient is φ = 4935840.

The previous prime is 11005013. The next prime is 11005019. The reversal of 11005016 is 61050011.

It is an interprime number because it is at equal distance from previous prime (11005013) and next prime (11005019).

It is a super-2 number, since 2×11005016² = 242220754320512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11005013) 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 7 ways as a sum of consecutive naturals, for example, 6161 + ... + 7743.

It is an arithmetic number, because the mean of its divisors is an integer number (712800).

Almost surely, 2^11005016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11005016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11404800).

11005016 is an abundant number, since it is smaller than the sum of its proper divisors (11804584).

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

11005016 is a wasteful number, since it uses less digits than its factorization.

11005016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 11005016 is about 3317.3808946215. The cubic root of 11005016 is about 222.4318084173.

Adding to 11005016 its reverse (61050011), we get a palindrome (72055027).

It can be divided in two parts, 1100 and 5016, that added together give a palindrome (6116).

The spelling of 11005016 in words is "eleven million, five thousand, sixteen".