105605160541 has 2 divisors, whose sum is σ = 105605160542. Its totient is φ = 105605160540.

The previous prime is 105605160497. The next prime is 105605160553. The reversal of 105605160541 is 145061506501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102713840100 + 2891320441 = 320490^2 + 53771^2 .

It is a cyclic number.

It is not a de Polignac number, because 105605160541 - 2²⁷ = 105470942813 is a prime.

It is a super-2 number, since 2×105605160541² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105605160497 and 105605160506.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105605190541) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52802580270 + 52802580271.

It is an arithmetic number, because the mean of its divisors is an integer number (52802580271).

Almost surely, 2^105605160541 is an apocalyptic number.

It is an amenable number.

105605160541 is a deficient number, since it is larger than the sum of its proper divisors (1).

105605160541 is an equidigital number, since it uses as much as digits as its factorization.

105605160541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18000, while the sum is 34.

The spelling of 105605160541 in words is "one hundred five billion, six hundred five million, one hundred sixty thousand, five hundred forty-one".