1005105105 has 56 divisors (see below), whose sum is σ = 1847152512. Its totient is φ = 524561184.

The previous prime is 1005105103. The next prime is 1005105121. The reversal of 1005105105 is 5015015001.

1005105105 is a `hidden beast` number, since 100 + 51 + 0 + 510 + 5 = 666.

It is not a de Polignac number, because 1005105105 - 2¹ = 1005105103 is a prime.

It is a super-2 number, since 2×1005105105² = 2020472544194122050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005105103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 168382 + ... + 174248.

Almost surely, 2^1005105105 is an apocalyptic number.

1005105105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005105105 is a deficient number, since it is larger than the sum of its proper divisors (842047407).

1005105105 is an frugal number, since it uses more digits than its factorization.

1005105105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5937 (or 5922 counting only the distinct ones).

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

The square root of 1005105105 is about 31703.3926417978. The cubic root of 1005105105 is about 1001.6988140632.

The spelling of 1005105105 in words is "one billion, five million, one hundred five thousand, one hundred five".