1005100000005 has 32 divisors (see below), whose sum is σ = 1651709476224. Its totient is φ = 521538345216.

The previous prime is 1005099999991. The next prime is 1005100000007. The reversal of 1005100000005 is 5000000015001.

It is not a de Polignac number, because 1005100000005 - 2¹⁵ = 1005099967237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005100000007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14994294 + ... + 15061176.

It is an arithmetic number, because the mean of its divisors is an integer number (51615921132).

Almost surely, 2^{1005100000005} is an apocalyptic number.

1005100000005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005100000005 is a deficient number, since it is larger than the sum of its proper divisors (646609476219).

1005100000005 is a wasteful number, since it uses less digits than its factorization.

1005100000005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94005.

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

Adding to 1005100000005 its reverse (5000000015001), we get a palindrome (6005100015006).

The spelling of 1005100000005 in words is "one trillion, five billion, one hundred million, five", and thus it is an aban number.