11105680 has 20 divisors (see below), whose sum is σ = 25820892. Its totient is φ = 4442240.

The previous prime is 11105669. The next prime is 11105681. The reversal of 11105680 is 8650111.

It can be written as a sum of positive squares in 2 ways, for example, as 2509056 + 8596624 = 1584^2 + 2932^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×11105680² = 246672256524800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11105681) 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 3 ways as a sum of consecutive naturals, for example, 69331 + ... + 69490.

Almost surely, 2^11105680 is an apocalyptic number.

11105680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11105680 is an abundant number, since it is smaller than the sum of its proper divisors (14715212).

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

11105680 is a wasteful number, since it uses less digits than its factorization.

11105680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138834 (or 138828 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 22.

The square root of 11105680 is about 3332.5185670901. The cubic root of 11105680 is about 223.1079531212.

Adding to 11105680 its reverse (8650111), we get a palindrome (19755791).

The spelling of 11105680 in words is "eleven million, one hundred five thousand, six hundred eighty".