1105505505 has 24 divisors (see below), whose sum is σ = 2063611368. Its totient is φ = 544248576.

The previous prime is 1105505473. The next prime is 1105505521. The reversal of 1105505505 is 5055055011.

1105505505 is a `hidden beast` number, since 1 + 105 + 5 + 0 + 550 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 226442304 + 879063201 = 15048^2 + 29649^2 .

It is not a de Polignac number, because 1105505505 - 2⁵ = 1105505473 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 944292 + ... + 945461.

It is an arithmetic number, because the mean of its divisors is an integer number (85983807).

Almost surely, 2^1105505505 is an apocalyptic number.

1105505505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1105505505 is a deficient number, since it is larger than the sum of its proper divisors (958105863).

1105505505 is a wasteful number, since it uses less digits than its factorization.

1105505505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889777 (or 1889774 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 27.

The square root of 1105505505 is about 33249.1429212845. The cubic root of 1105505505 is about 1033.9994391211. Note that the first 3 decimals are identical.

The spelling of 1105505505 in words is "one billion, one hundred five million, five hundred five thousand, five hundred five".