11580105 has 16 divisors (see below), whose sum is σ = 18575424. Its totient is φ = 6160320.

The previous prime is 11580103. The next prime is 11580113. The reversal of 11580105 is 50108511.

It is not a de Polignac number, because 11580105 - 2¹ = 11580103 is a prime.

It is a super-2 number, since 2×11580105² = 268197663622050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11580103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7402 + ... + 8828.

It is an arithmetic number, because the mean of its divisors is an integer number (1160964).

Almost surely, 2^11580105 is an apocalyptic number.

11580105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11580105 is a deficient number, since it is larger than the sum of its proper divisors (6995319).

11580105 is a wasteful number, since it uses less digits than its factorization.

11580105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976.

The product of its (nonzero) digits is 200, while the sum is 21.

The square root of 11580105 is about 3402.9553332361. The cubic root of 11580105 is about 226.2407503112.

Adding to 11580105 its reverse (50108511), we get a palindrome (61688616).

The spelling of 11580105 in words is "eleven million, five hundred eighty thousand, one hundred five".