105600160361 has 2 divisors, whose sum is σ = 105600160362. Its totient is φ = 105600160360.

The previous prime is 105600160301. The next prime is 105600160417. The reversal of 105600160361 is 163061006501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82664875225 + 22935285136 = 287515^2 + 151444^2 .

It is a cyclic number.

It is not a de Polignac number, because 105600160361 - 2³⁰ = 104526418537 is a prime.

It is a super-2 number, since 2×105600160361² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105600160301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52800080180 + 52800080181.

It is an arithmetic number, because the mean of its divisors is an integer number (52800080181).

Almost surely, 2^105600160361 is an apocalyptic number.

It is an amenable number.

105600160361 is a deficient number, since it is larger than the sum of its proper divisors (1).

105600160361 is an equidigital number, since it uses as much as digits as its factorization.

105600160361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 29.

Adding to 105600160361 its reverse (163061006501), we get a palindrome (268661166862).

The spelling of 105600160361 in words is "one hundred five billion, six hundred million, one hundred sixty thousand, three hundred sixty-one".