10500501105006 has 16 divisors (see below), whose sum is σ = 22910184229248. Its totient is φ = 3181970031800.

The previous prime is 10500501104953. The next prime is 10500501105011. The reversal of 10500501105006 is 60050110500501.

It is a super-3 number, since 3×10500501105006³ (a number of 40 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 (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79549250730 + ... + 79549250861.

It is an arithmetic number, because the mean of its divisors is an integer number (1431886514328).

Almost surely, 2^{10500501105006} is an apocalyptic number.

10500501105006 is an abundant number, since it is smaller than the sum of its proper divisors (12409683124242).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10500501105006 is a wasteful number, since it uses less digits than its factorization.

10500501105006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159098501607.

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 10500501105006 its reverse (60050110500501), we get a palindrome (70550611605507).

The spelling of 10500501105006 in words is "ten trillion, five hundred billion, five hundred one million, one hundred five thousand, six".