100606106105041 has 8 divisors (see below), whose sum is σ = 106715358518760. Its totient is φ = 94518103266048.

The previous prime is 100606106105039. The next prime is 100606106105053. The reversal of 100606106105041 is 140501601606001.

It can be written as a sum of positive squares in 4 ways, for example, as 39725476924225 + 60880629180816 = 6302815^2 + 7802604^2 .

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 100606106105041 - 2¹ = 100606106105039 is a prime.

It is a super-2 number, since 2×100606106105041² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100606106104994 and 100606106105012.

It is not an unprimeable number, because it can be changed into a prime (100606106102041) 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, 5312383926 + ... + 5312402863.

It is an arithmetic number, because the mean of its divisors is an integer number (13339419814845).

Almost surely, 2^{100606106105041} is an apocalyptic number.

It is an amenable number.

100606106105041 is a deficient number, since it is larger than the sum of its proper divisors (6109252413719).

100606106105041 is a wasteful number, since it uses less digits than its factorization.

100606106105041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10624787363.

The product of its (nonzero) digits is 4320, while the sum is 31.

The spelling of 100606106105041 in words is "one hundred trillion, six hundred six billion, one hundred six million, one hundred five thousand, forty-one".