100506101106041 has 8 divisors (see below), whose sum is σ = 107471870491464. Its totient is φ = 93657403475200.

The previous prime is 100506101105999. The next prime is 100506101106071. The reversal of 100506101106041 is 140601101605001.

It can be written as a sum of positive squares in 4 ways, for example, as 30831688811641 + 69674412294400 = 5552629^2 + 8347120^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100506101106041 - 2¹⁰ = 100506101105017 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100506101106041.

It is not an unprimeable number, because it can be changed into a prime (100506101106071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29267936870 + ... + 29267940303.

It is an arithmetic number, because the mean of its divisors is an integer number (13433983811433).

Almost surely, 2^{100506101106041} is an apocalyptic number.

It is an amenable number.

100506101106041 is a deficient number, since it is larger than the sum of its proper divisors (6965769385423).

100506101106041 is a wasteful number, since it uses less digits than its factorization.

100506101106041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58535877291.

The product of its (nonzero) digits is 720, while the sum is 26.

The spelling of 100506101106041 in words is "one hundred trillion, five hundred six billion, one hundred one million, one hundred six thousand, forty-one".