1005100605 has 24 divisors (see below), whose sum is σ = 1844656632. Its totient is φ = 504520704.

The previous prime is 1005100601. The next prime is 1005100633. The reversal of 1005100605 is 5060015001.

1005100605 is a `hidden beast` number, since 10 + 0 + 51 + 0 + 0 + 605 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 109056249 + 896044356 = 10443^2 + 29934^2 .

It is not a de Polignac number, because 1005100605 - 2² = 1005100601 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005100601) 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 23 ways as a sum of consecutive naturals, for example, 656164 + ... + 657693.

It is an arithmetic number, because the mean of its divisors is an integer number (76860693).

Almost surely, 2^1005100605 is an apocalyptic number.

1005100605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005100605 is a deficient number, since it is larger than the sum of its proper divisors (839556027).

1005100605 is a wasteful number, since it uses less digits than its factorization.

1005100605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313885 (or 1313882 counting only the distinct ones).

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

The square root of 1005100605 is about 31703.3216713959. The cubic root of 1005100605 is about 1001.6973191445.

Adding to 1005100605 its reverse (5060015001), we get a palindrome (6065115606).

The spelling of 1005100605 in words is "one billion, five million, one hundred thousand, six hundred five".