105601009873 has 2 divisors, whose sum is σ = 105601009874. Its totient is φ = 105601009872.

The previous prime is 105601009841. The next prime is 105601009897. The reversal of 105601009873 is 378900106501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100078587904 + 5522421969 = 316352^2 + 74313^2 .

It is a cyclic number.

It is not a de Polignac number, because 105601009873 - 2⁵ = 105601009841 is a prime.

It is a super-2 number, since 2×105601009873² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105601009823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52800504936 + 52800504937.

It is an arithmetic number, because the mean of its divisors is an integer number (52800504937).

Almost surely, 2^105601009873 is an apocalyptic number.

It is an amenable number.

105601009873 is a deficient number, since it is larger than the sum of its proper divisors (1).

105601009873 is an equidigital number, since it uses as much as digits as its factorization.

105601009873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 40.

The spelling of 105601009873 in words is "one hundred five billion, six hundred one million, nine thousand, eight hundred seventy-three".