105351512089 has 2 divisors, whose sum is σ = 105351512090. Its totient is φ = 105351512088.

The previous prime is 105351511949. The next prime is 105351512099. The reversal of 105351512089 is 980215153501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89480551689 + 15870960400 = 299133^2 + 125980^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105351512089 is a prime.

It is a super-2 number, since 2×105351512089² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105351512099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52675756044 + 52675756045.

It is an arithmetic number, because the mean of its divisors is an integer number (52675756045).

Almost surely, 2^105351512089 is an apocalyptic number.

It is an amenable number.

105351512089 is a deficient number, since it is larger than the sum of its proper divisors (1).

105351512089 is an equidigital number, since it uses as much as digits as its factorization.

105351512089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54000, while the sum is 40.

The spelling of 105351512089 in words is "one hundred five billion, three hundred fifty-one million, five hundred twelve thousand, eighty-nine".