105606050555101 has 2 divisors, whose sum is σ = 105606050555102. Its totient is φ = 105606050555100.

The previous prime is 105606050555039. The next prime is 105606050555111. The reversal of 105606050555101 is 101555050606501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80239063555876 + 25366986999225 = 8957626^2 + 5036565^2 .

It is a cyclic number.

It is not a de Polignac number, because 105606050555101 - 2⁷ = 105606050554973 is a prime.

It is a super-3 number, since 3×105606050555101³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105606050555111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52803025277550 + 52803025277551.

It is an arithmetic number, because the mean of its divisors is an integer number (52803025277551).

Almost surely, 2^{105606050555101} is an apocalyptic number.

It is an amenable number.

105606050555101 is a deficient number, since it is larger than the sum of its proper divisors (1).

105606050555101 is an equidigital number, since it uses as much as digits as its factorization.

105606050555101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112500, while the sum is 40.

The spelling of 105606050555101 in words is "one hundred five trillion, six hundred six billion, fifty million, five hundred fifty-five thousand, one hundred one".