105057189973 has 2 divisors, whose sum is σ = 105057189974. Its totient is φ = 105057189972.

The previous prime is 105057189971. The next prime is 105057189989. The reversal of 105057189973 is 379981750501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97505058564 + 7552131409 = 312258^2 + 86903^2 .

It is an emirp because it is prime and its reverse (379981750501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105057189973 - 2¹ = 105057189971 is a prime.

It is a super-2 number, since 2×105057189973² (a number of 23 digits) contains 22 as substring.

Together with 105057189971, 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 (105057189971) 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, 52528594986 + 52528594987.

It is an arithmetic number, because the mean of its divisors is an integer number (52528594987).

Almost surely, 2^105057189973 is an apocalyptic number.

It is an amenable number.

105057189973 is a deficient number, since it is larger than the sum of its proper divisors (1).

105057189973 is an equidigital number, since it uses as much as digits as its factorization.

105057189973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2381400, while the sum is 55.

The spelling of 105057189973 in words is "one hundred five billion, fifty-seven million, one hundred eighty-nine thousand, nine hundred seventy-three".