1000105005 has 32 divisors (see below), whose sum is σ = 1683537408. Its totient is φ = 506304000.

The previous prime is 1000104983. The next prime is 1000105013. The reversal of 1000105005 is 5005010001.

It is not a de Polignac number, because 1000105005 - 2⁷ = 1000104877 is a prime.

It is a congruent number.

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, 780 + ... + 44730.

It is an arithmetic number, because the mean of its divisors is an integer number (52610544).

Almost surely, 2^1000105005 is an apocalyptic number.

1000105005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1000105005 is a deficient number, since it is larger than the sum of its proper divisors (683432403).

1000105005 is a wasteful number, since it uses less digits than its factorization.

1000105005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44037.

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 1000105005 is about 31624.4368329303. The cubic root of 1000105005 is about 1000.0350004416.

Adding to 1000105005 its reverse (5005010001), we get a palindrome (6005115006).

The spelling of 1000105005 in words is "one billion, one hundred five thousand, five".