105601101005089 has 2 divisors, whose sum is σ = 105601101005090. Its totient is φ = 105601101005088.

The previous prime is 105601101005069. The next prime is 105601101005093. The reversal of 105601101005089 is 980500101106501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77443379236864 + 28157721768225 = 8800192^2 + 5306385^2 .

It is a cyclic number.

It is not a de Polignac number, because 105601101005089 - 2¹⁹ = 105601100480801 is a prime.

It is a super-2 number, since 2×105601101005089² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105601101005069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52800550502544 + 52800550502545.

It is an arithmetic number, because the mean of its divisors is an integer number (52800550502545).

Almost surely, 2^{105601101005089} is an apocalyptic number.

It is an amenable number.

105601101005089 is a deficient number, since it is larger than the sum of its proper divisors (1).

105601101005089 is an equidigital number, since it uses as much as digits as its factorization.

105601101005089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10800, while the sum is 37.

The spelling of 105601101005089 in words is "one hundred five trillion, six hundred one billion, one hundred one million, five thousand, eighty-nine".