105005561110057 has 2 divisors, whose sum is σ = 105005561110058. Its totient is φ = 105005561110056.

The previous prime is 105005561110039. The next prime is 105005561110061. The reversal of 105005561110057 is 750011165500501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100288928398096 + 4716632711961 = 10014436^2 + 2171781^2 .

It is an emirp because it is prime and its reverse (750011165500501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105005561110057 - 2⁷ = 105005561109929 is a prime.

It is a super-2 number, since 2×105005561110057² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105005561109998 and 105005561110025.

It is not a weakly prime, because it can be changed into another prime (105005561110027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52502780555028 + 52502780555029.

It is an arithmetic number, because the mean of its divisors is an integer number (52502780555029).

Almost surely, 2^{105005561110057} is an apocalyptic number.

It is an amenable number.

105005561110057 is a deficient number, since it is larger than the sum of its proper divisors (1).

105005561110057 is an equidigital number, since it uses as much as digits as its factorization.

105005561110057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 26250, while the sum is 37.

The spelling of 105005561110057 in words is "one hundred five trillion, five billion, five hundred sixty-one million, one hundred ten thousand, fifty-seven".