1005000061105 has 16 divisors (see below), whose sum is σ = 1209843766800. Its totient is φ = 801441445120.

The previous prime is 1005000061103. The next prime is 1005000061139. The reversal of 1005000061105 is 5011600005001.

It can be written as a sum of positive squares in 8 ways, for example, as 9171701361 + 995828359744 = 95769^2 + 997912^2 .

It is not a de Polignac number, because 1005000061105 - 2¹ = 1005000061103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005000061103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1848951 + ... + 2329939.

It is an arithmetic number, because the mean of its divisors is an integer number (75615235425).

Almost surely, 2^{1005000061105} is an apocalyptic number.

It is an amenable number.

1005000061105 is a deficient number, since it is larger than the sum of its proper divisors (204843705695).

1005000061105 is an equidigital number, since it uses as much as digits as its factorization.

1005000061105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482324.

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 1005000061105 its reverse (5011600005001), we get a palindrome (6016600066106).

The spelling of 1005000061105 in words is "one trillion, five billion, sixty-one thousand, one hundred five".