1005000001105 has 8 divisors (see below), whose sum is σ = 1206210250152. Its totient is φ = 803859835008.

The previous prime is 1005000001069. The next prime is 1005000001123. The reversal of 1005000001105 is 5011000005001.

It can be written as a sum of positive squares in 4 ways, for example, as 23521436689 + 981478564416 = 153367^2 + 990696^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1005000001105 - 2³⁵ = 970640262737 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17489182 + ... + 17546551.

It is an arithmetic number, because the mean of its divisors is an integer number (150776281269).

Almost surely, 2^{1005000001105} is an apocalyptic number.

It is an amenable number.

1005000001105 is a deficient number, since it is larger than the sum of its proper divisors (201210249047).

1005000001105 is an equidigital number, since it uses as much as digits as its factorization.

1005000001105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35041475.

The product of its (nonzero) digits is 25, while the sum is 13.

Adding to 1005000001105 its reverse (5011000005001), we get a palindrome (6016000006106).

The spelling of 1005000001105 in words is "one trillion, five billion, one thousand, one hundred five".