105500555060557 has 2 divisors, whose sum is σ = 105500555060558. Its totient is φ = 105500555060556.

The previous prime is 105500555060531. The next prime is 105500555060573. The reversal of 105500555060557 is 755060555005501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85918328177796 + 19582226882761 = 9269214^2 + 4425181^2 .

It is a cyclic number.

It is not a de Polignac number, because 105500555060557 - 2²⁷ = 105500420842829 is a prime.

It is a super-2 number, since 2×105500555060557² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105500555060557.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105500555060507) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52750277530278 + 52750277530279.

It is an arithmetic number, because the mean of its divisors is an integer number (52750277530279).

Almost surely, 2^{105500555060557} is an apocalyptic number.

It is an amenable number.

105500555060557 is a deficient number, since it is larger than the sum of its proper divisors (1).

105500555060557 is an equidigital number, since it uses as much as digits as its factorization.

105500555060557 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3281250, while the sum is 49.

The spelling of 105500555060557 in words is "one hundred five trillion, five hundred billion, five hundred fifty-five million, sixty thousand, five hundred fifty-seven".