105535125089 has 2 divisors, whose sum is σ = 105535125090. Its totient is φ = 105535125088.

The previous prime is 105535125013. The next prime is 105535125139. The reversal of 105535125089 is 980521535501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79817550400 + 25717574689 = 282520^2 + 160367^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105535125089 is a prime.

It is a super-2 number, since 2×105535125089² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (105535125589) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52767562544 + 52767562545.

It is an arithmetic number, because the mean of its divisors is an integer number (52767562545).

Almost surely, 2^105535125089 is an apocalyptic number.

It is an amenable number.

105535125089 is a deficient number, since it is larger than the sum of its proper divisors (1).

105535125089 is an equidigital number, since it uses as much as digits as its factorization.

105535125089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270000, while the sum is 44.

The spelling of 105535125089 in words is "one hundred five billion, five hundred thirty-five million, one hundred twenty-five thousand, eighty-nine".