10100506005505 has 8 divisors (see below), whose sum is σ = 12121330364352. Its totient is φ = 8079922699248.

The previous prime is 10100506005481. The next prime is 10100506005511. The reversal of 10100506005505 is 50550060500101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10100506005505 - 2²⁵ = 10100472451073 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 60170949 + ... + 60338578.

It is an arithmetic number, because the mean of its divisors is an integer number (1515166295544).

Almost surely, 2^{10100506005505} is an apocalyptic number.

It is an amenable number.

10100506005505 is a deficient number, since it is larger than the sum of its proper divisors (2020824358847).

10100506005505 is a wasteful number, since it uses less digits than its factorization.

10100506005505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120526295.

The product of its (nonzero) digits is 3750, while the sum is 28.

Adding to 10100506005505 its reverse (50550060500101), we get a palindrome (60650566505606).

The spelling of 10100506005505 in words is "ten trillion, one hundred billion, five hundred six million, five thousand, five hundred five".