105050066550061 has 2 divisors, whose sum is σ = 105050066550062. Its totient is φ = 105050066550060.

The previous prime is 105050066550047. The next prime is 105050066550073. The reversal of 105050066550061 is 160055660050501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81890391547561 + 23159675002500 = 9049331^2 + 4812450^2 .

It is a cyclic number.

It is not a de Polignac number, because 105050066550061 - 2²³ = 105050058161453 is a prime.

It is a super-2 number, since 2×105050066550061² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105050066549996 and 105050066550023.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105050066550761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52525033275030 + 52525033275031.

It is an arithmetic number, because the mean of its divisors is an integer number (52525033275031).

Almost surely, 2^{105050066550061} is an apocalyptic number.

It is an amenable number.

105050066550061 is a deficient number, since it is larger than the sum of its proper divisors (1).

105050066550061 is an equidigital number, since it uses as much as digits as its factorization.

105050066550061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 135000, while the sum is 40.

The spelling of 105050066550061 in words is "one hundred five trillion, fifty billion, sixty-six million, five hundred fifty thousand, sixty-one".