10100506005506 has 32 divisors (see below), whose sum is σ = 18243403296768. Its totient is φ = 4100380281360.

The previous prime is 10100506005481. The next prime is 10100506005511. The reversal of 10100506005506 is 60550060500101.

It is a Curzon 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 15 ways as a sum of consecutive naturals, for example, 152238830 + ... + 152305161.

It is an arithmetic number, because the mean of its divisors is an integer number (570106353024).

Almost surely, 2^{10100506005506} is an apocalyptic number.

10100506005506 is a deficient number, since it is larger than the sum of its proper divisors (8142897291262).

10100506005506 is a wasteful number, since it uses less digits than its factorization.

10100506005506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304544126.

The product of its (nonzero) digits is 4500, while the sum is 29.

Adding to 10100506005506 its reverse (60550060500101), we get a palindrome (70650566505607).

The spelling of 10100506005506 in words is "ten trillion, one hundred billion, five hundred six million, five thousand, five hundred six".