10506505006 has 8 divisors (see below), whose sum is σ = 15760205640. Its totient is φ = 5253103128.

The previous prime is 10506504997. The next prime is 10506505021. The reversal of 10506505006 is 60050560501.

10506505006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×10506505006³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent 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 3 ways as a sum of consecutive naturals, for example, 66960 + ... + 159676.

It is an arithmetic number, because the mean of its divisors is an integer number (1970025705).

Almost surely, 2^10506505006 is an apocalyptic number.

10506505006 is a deficient number, since it is larger than the sum of its proper divisors (5253700634).

10506505006 is an equidigital number, since it uses as much as digits as its factorization.

10506505006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149378.

The product of its (nonzero) digits is 4500, while the sum is 28.

It can be divided in two parts, 1050 and 6505006, that added together give a palindrome (6506056).

The spelling of 10506505006 in words is "ten billion, five hundred six million, five hundred five thousand, six".