105065721557 has 2 divisors, whose sum is σ = 105065721558. Its totient is φ = 105065721556.

The previous prime is 105065721529. The next prime is 105065721559. The reversal of 105065721557 is 755127560501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104866516561 + 199204996 = 323831^2 + 14114^2 .

It is a cyclic number.

It is not a de Polignac number, because 105065721557 - 2¹² = 105065717461 is a prime.

It is a super-2 number, since 2×105065721557² (a number of 23 digits) contains 22 as substring.

Together with 105065721559, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105065721559) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52532860778 + 52532860779.

It is an arithmetic number, because the mean of its divisors is an integer number (52532860779).

Almost surely, 2^105065721557 is an apocalyptic number.

It is an amenable number.

105065721557 is a deficient number, since it is larger than the sum of its proper divisors (1).

105065721557 is an equidigital number, since it uses as much as digits as its factorization.

105065721557 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 367500, while the sum is 44.

The spelling of 105065721557 in words is "one hundred five billion, sixty-five million, seven hundred twenty-one thousand, five hundred fifty-seven".