1001105505 has 12 divisors (see below), whose sum is σ = 1735249620. Its totient is φ = 533922912.

The previous prime is 1001105477. The next prime is 1001105507. The reversal of 1001105505 is 5055011001.

1001105505 is a `hidden beast` number, since 1 + 0 + 0 + 110 + 550 + 5 = 666.

1001105505 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 572118561 + 428986944 = 23919^2 + 20712^2 .

It is not a de Polignac number, because 1001105505 - 2⁵ = 1001105473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001105507) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11123350 + ... + 11123439.

It is an arithmetic number, because the mean of its divisors is an integer number (144604135).

Almost surely, 2^1001105505 is an apocalyptic number.

1001105505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1001105505 is a deficient number, since it is larger than the sum of its proper divisors (734144115).

1001105505 is a wasteful number, since it uses less digits than its factorization.

1001105505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22246800 (or 22246797 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The square root of 1001105505 is about 31640.2513422381. The cubic root of 1001105505 is about 1000.3683659565.

Adding to 1001105505 its reverse (5055011001), we get a palindrome (6056116506).

The spelling of 1001105505 in words is "one billion, one million, one hundred five thousand, five hundred five".