100106100906 has 32 divisors (see below), whose sum is σ = 236704083840. Its totient is φ = 27615475776.

The previous prime is 100106100901. The next prime is 100106100917. The reversal of 100106100906 is 609001601001.

100106100906 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (100106100901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41093241 + ... + 41095676.

It is an arithmetic number, because the mean of its divisors is an integer number (7397002620).

Almost surely, 2^100106100906 is an apocalyptic number.

100106100906 is an abundant number, since it is smaller than the sum of its proper divisors (136597982934).

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

100106100906 is a wasteful number, since it uses less digits than its factorization.

100106100906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82188958.

The product of its (nonzero) digits is 324, while the sum is 24.

Adding to 100106100906 its reverse (609001601001), we get a palindrome (709107701907).

The spelling of 100106100906 in words is "one hundred billion, one hundred six million, one hundred thousand, nine hundred six".