105006005505 has 16 divisors (see below), whose sum is σ = 186677343360. Its totient is φ = 56003202864.

The previous prime is 105006005417. The next prime is 105006005509. The reversal of 105006005505 is 505500600501.

105006005505 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 0 + 600 + 5 + 50 + 5 = 666.

It is not a de Polignac number, because 105006005505 - 2⁸ = 105006005249 is a prime.

It is a super-2 number, since 2×105006005505² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105006005509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388910997 + ... + 388911266.

It is an arithmetic number, because the mean of its divisors is an integer number (11667333960).

Almost surely, 2^105006005505 is an apocalyptic number.

105006005505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105006005505 is a deficient number, since it is larger than the sum of its proper divisors (81671337855).

105006005505 is an equidigital number, since it uses as much as digits as its factorization.

105006005505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777822277 (or 777822271 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The spelling of 105006005505 in words is "one hundred five billion, six million, five thousand, five hundred five".