1005666105 has 32 divisors (see below), whose sum is σ = 1739548800. Its totient is φ = 494387712.

The previous prime is 1005666061. The next prime is 1005666119. The reversal of 1005666105 is 5016665001.

It is not a de Polignac number, because 1005666105 - 2⁶ = 1005666041 is a prime.

It is a super-2 number, since 2×1005666105² = 2022728629491742050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37140 + ... + 58229.

It is an arithmetic number, because the mean of its divisors is an integer number (54360900).

Almost surely, 2^1005666105 is an apocalyptic number.

1005666105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005666105 is a deficient number, since it is larger than the sum of its proper divisors (733882695).

1005666105 is a wasteful number, since it uses less digits than its factorization.

1005666105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95433.

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 1005666105 is about 31712.2390411021. The cubic root of 1005666105 is about 1001.8851456594.

The spelling of 1005666105 in words is "one billion, five million, six hundred sixty-six thousand, one hundred five".