100506106105839 has 48 divisors (see below), whose sum is σ = 166085214830080. Its totient is φ = 57373095251520.

The previous prime is 100506106105831. The next prime is 100506106105871. The reversal of 100506106105839 is 938501601605001.

100506106105839 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 0 + 6 + 1 + 0 + 61 + 0 + 583 + 9 = 666.

It is not a de Polignac number, because 100506106105839 - 2³ = 100506106105831 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100506106105794 and 100506106105803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100506106105831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 808573284 + ... + 808697574.

Almost surely, 2^{100506106105839} is an apocalyptic number.

100506106105839 is a deficient number, since it is larger than the sum of its proper divisors (65579108724241).

100506106105839 is a wasteful number, since it uses less digits than its factorization.

100506106105839 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137380 (or 137377 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 100506106105839 in words is "one hundred trillion, five hundred six billion, one hundred six million, one hundred five thousand, eight hundred thirty-nine".