10011105005 has 24 divisors (see below), whose sum is σ = 13778868096. Its totient is φ = 6964237280.

The previous prime is 10011104989. The next prime is 10011105011. The reversal of 10011105005 is 50050111001.

It is not a de Polignac number, because 10011105005 - 2⁴ = 10011104989 is a prime.

It is a super-2 number, since 2×10011105005² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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, 345809 + ... + 373638.

It is an arithmetic number, because the mean of its divisors is an integer number (574119504).

Almost surely, 2^10011105005 is an apocalyptic number.

It is an amenable number.

10011105005 is a deficient number, since it is larger than the sum of its proper divisors (3767763091).

10011105005 is a wasteful number, since it uses less digits than its factorization.

10011105005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719497 (or 719486 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 14.

Adding to 10011105005 its reverse (50050111001), we get a palindrome (60061216006).

The spelling of 10011105005 in words is "ten billion, eleven million, one hundred five thousand, five".