1006005105 has 24 divisors (see below), whose sum is σ = 1992848832. Its totient is φ = 459887904.

The previous prime is 1006005097. The next prime is 1006005113. The reversal of 1006005105 is 5015006001.

1006005105 is a `hidden beast` number, since 10 + 0 + 600 + 51 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (1006005097) and next prime (1006005113).

It is not a de Polignac number, because 1006005105 - 2³ = 1006005097 is a prime.

It is a super-2 number, since 2×1006005105² = 2024092542572122050, which contains 22 as substring.

It is a Curzon number.

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, 1596519 + ... + 1597148.

It is an arithmetic number, because the mean of its divisors is an integer number (83035368).

Almost surely, 2^1006005105 is an apocalyptic number.

1006005105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1006005105 is a deficient number, since it is larger than the sum of its proper divisors (986843727).

1006005105 is a wasteful number, since it uses less digits than its factorization.

1006005105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3193685 (or 3193682 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 1006005105 is about 31717.5835302754. The cubic root of 1006005105 is about 1001.9977081712.

The spelling of 1006005105 in words is "one billion, six million, five thousand, one hundred five".