100506101106042 has 48 divisors (see below), whose sum is σ = 217836614399040. Its totient is φ = 33490744056000.

The previous prime is 100506101105999. The next prime is 100506101106071. The reversal of 100506101106042 is 240601101605001.

100506101106042 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 0 + 610 + 1 + 1 + 0 + 6 + 0 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 100506101105997 and 100506101106015.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 671357934 + ... + 671507622.

It is an arithmetic number, because the mean of its divisors is an integer number (4538262799980).

Almost surely, 2^{100506101106042} is an apocalyptic number.

100506101106042 is an abundant number, since it is smaller than the sum of its proper divisors (117330513292998).

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

100506101106042 is a wasteful number, since it uses less digits than its factorization.

100506101106042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162019 (or 162016 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 100506101106042 in words is "one hundred trillion, five hundred six billion, one hundred one million, one hundred six thousand, forty-two".