100506105009 has 12 divisors (see below), whose sum is σ = 145181822916. Its totient is φ = 67001144832.

The previous prime is 100506104969. The next prime is 100506105013. The reversal of 100506105009 is 900501605001.

100506105009 is a `hidden beast` number, since 100 + 50 + 6 + 1 + 0 + 500 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 67066496784 + 33439608225 = 258972^2 + 182865^2 .

It is a de Polignac number, because none of the positive numbers 2^k-100506105009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100506105409) 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 11 ways as a sum of consecutive naturals, for example, 14844 + ... + 448589.

It is an arithmetic number, because the mean of its divisors is an integer number (12098485243).

Almost surely, 2^100506105009 is an apocalyptic number.

It is an amenable number.

100506105009 is a deficient number, since it is larger than the sum of its proper divisors (44675717907).

100506105009 is a wasteful number, since it uses less digits than its factorization.

100506105009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487536 (or 487533 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The spelling of 100506105009 in words is "one hundred billion, five hundred six million, one hundred five thousand, nine".