105987248989 has 2 divisors, whose sum is σ = 105987248990. Its totient is φ = 105987248988.

The previous prime is 105987248987. The next prime is 105987249061. The reversal of 105987248989 is 989842789501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87709560964 + 18277688025 = 296158^2 + 135195^2 .

It is a cyclic number.

It is not a de Polignac number, because 105987248989 - 2¹ = 105987248987 is a prime.

It is a super-2 number, since 2×105987248989² (a number of 23 digits) contains 22 as substring.

Together with 105987248987, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105987248987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52993624494 + 52993624495.

It is an arithmetic number, because the mean of its divisors is an integer number (52993624495).

Almost surely, 2^105987248989 is an apocalyptic number.

It is an amenable number.

105987248989 is a deficient number, since it is larger than the sum of its proper divisors (1).

105987248989 is an equidigital number, since it uses as much as digits as its factorization.

105987248989 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 104509440, while the sum is 70.

The spelling of 105987248989 in words is "one hundred five billion, nine hundred eighty-seven million, two hundred forty-eight thousand, nine hundred eighty-nine".