105407850389 has 2 divisors, whose sum is σ = 105407850390. Its totient is φ = 105407850388.

The previous prime is 105407850337. The next prime is 105407850439. The reversal of 105407850389 is 983058704501.

It is an a-pointer prime, because the next prime (105407850439) can be obtained adding 105407850389 to its sum of digits (50).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89860254289 + 15547596100 = 299767^2 + 124690^2 .

It is a cyclic number.

It is not a de Polignac number, because 105407850389 - 2²⁰ = 105406801813 is a prime.

It is a super-2 number, since 2×105407850389² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105407850319) 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, 52703925194 + 52703925195.

It is an arithmetic number, because the mean of its divisors is an integer number (52703925195).

Almost surely, 2^105407850389 is an apocalyptic number.

It is an amenable number.

105407850389 is a deficient number, since it is larger than the sum of its proper divisors (1).

105407850389 is an equidigital number, since it uses as much as digits as its factorization.

105407850389 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1209600, while the sum is 50.

The spelling of 105407850389 in words is "one hundred five billion, four hundred seven million, eight hundred fifty thousand, three hundred eighty-nine".