11005005 has 16 divisors (see below), whose sum is σ = 19209024. Its totient is φ = 5335680.

The previous prime is 11004979. The next prime is 11005013. The reversal of 11005005 is 50050011.

It is not a de Polignac number, because 11005005 - 2⁹ = 11004493 is a prime.

It is a super-2 number, since 2×11005005² = 242220270100050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33184 + ... + 33513.

It is an arithmetic number, because the mean of its divisors is an integer number (1200564).

Almost surely, 2^11005005 is an apocalyptic number.

11005005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11005005 is a deficient number, since it is larger than the sum of its proper divisors (8204019).

11005005 is a wasteful number, since it uses less digits than its factorization.

11005005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66716.

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 11005005 is about 3317.3792366867. The cubic root of 11005005 is about 222.4317343072.

Adding to 11005005 its reverse (50050011), we get a palindrome (61055016).

It can be divided in two parts, 1100 and 5005, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 11005005 in words is "eleven million, five thousand, five".