10505006655003 has 24 divisors (see below), whose sum is σ = 17550533215488. Its totient is φ = 5930537316912.

The previous prime is 10505006654953. The next prime is 10505006655019. The reversal of 10505006655003 is 30055660050501.

10505006655003 is a `hidden beast` number, since 1 + 0 + 50 + 50 + 0 + 6 + 6 + 550 + 0 + 3 = 666.

It is not a de Polignac number, because 10505006655003 - 2²⁰ = 10505005606427 is a prime.

It is a super-2 number, since 2×10505006655003² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10505006655053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1004489575 + ... + 1004500032.

It is an arithmetic number, because the mean of its divisors is an integer number (731272217312).

Almost surely, 2^{10505006655003} is an apocalyptic number.

10505006655003 is a deficient number, since it is larger than the sum of its proper divisors (7045526560485).

10505006655003 is a wasteful number, since it uses less digits than its factorization.

10505006655003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008989703 (or 2008989700 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 10505006655003 in words is "ten trillion, five hundred five billion, six million, six hundred fifty-five thousand, three".