105560585810557 has 2 divisors, whose sum is σ = 105560585810558. Its totient is φ = 105560585810556.

The previous prime is 105560585810531. The next prime is 105560585810639. The reversal of 105560585810557 is 755018585065501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105340273858681 + 220311951876 = 10263541^2 + 469374^2 .

It is a cyclic number.

It is not a de Polignac number, because 105560585810557 - 2³¹ = 105558438326909 is a prime.

It is a super-2 number, since 2×105560585810557² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105560585810495 and 105560585810504.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105560585810507) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52780292905278 + 52780292905279.

It is an arithmetic number, because the mean of its divisors is an integer number (52780292905279).

Almost surely, 2^{105560585810557} is an apocalyptic number.

It is an amenable number.

105560585810557 is a deficient number, since it is larger than the sum of its proper divisors (1).

105560585810557 is an equidigital number, since it uses as much as digits as its factorization.

105560585810557 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42000000, while the sum is 61.

The spelling of 105560585810557 in words is "one hundred five trillion, five hundred sixty billion, five hundred eighty-five million, eight hundred ten thousand, five hundred fifty-seven".