11005403305 has 16 divisors (see below), whose sum is σ = 15058978704. Its totient is φ = 7649003520.

The previous prime is 11005403263. The next prime is 11005403347. The reversal of 11005403305 is 50330450011.

It is a happy number.

11005403305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11005403263) and next prime (11005403347).

It can be written as a sum of positive squares in 8 ways, for example, as 1163969689 + 9841433616 = 34117^2 + 99204^2 .

It is not a de Polignac number, because 11005403305 - 2¹³ = 11005395113 is a prime.

It is a super-2 number, since 2×11005403305² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4978716 + ... + 4980925.

It is an arithmetic number, because the mean of its divisors is an integer number (941186169).

Almost surely, 2^11005403305 is an apocalyptic number.

It is an amenable number.

11005403305 is a deficient number, since it is larger than the sum of its proper divisors (4053575399).

11005403305 is a wasteful number, since it uses less digits than its factorization.

11005403305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9959676.

The product of its (nonzero) digits is 900, while the sum is 22.

Adding to 11005403305 its reverse (50330450011), we get a palindrome (61335853316).

The spelling of 11005403305 in words is "eleven billion, five million, four hundred three thousand, three hundred five".