10100106105006 has 32 divisors (see below), whose sum is σ = 20238853219200. Its totient is φ = 3360262669920.

The previous prime is 10100106104987. The next prime is 10100106105007. The reversal of 10100106105006 is 60050160100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100106105007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 55022205 + ... + 55205463.

It is an arithmetic number, because the mean of its divisors is an integer number (632464163100).

Almost surely, 2^{10100106105006} is an apocalyptic number.

10100106105006 is an abundant number, since it is smaller than the sum of its proper divisors (10138747114194).

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

10100106105006 is a wasteful number, since it uses less digits than its factorization.

10100106105006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200784.

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 10100106105006 its reverse (60050160100101), we get a palindrome (70150266205107).

The spelling of 10100106105006 in words is "ten trillion, one hundred billion, one hundred six million, one hundred five thousand, six".