105457424641 has 2 divisors, whose sum is σ = 105457424642. Its totient is φ = 105457424640.

The previous prime is 105457424609. The next prime is 105457424693. The reversal of 105457424641 is 146424754501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67316897025 + 38140527616 = 259455^2 + 195296^2 .

It is a cyclic number.

It is not a de Polignac number, because 105457424641 - 2⁵ = 105457424609 is a prime.

It is a super-2 number, since 2×105457424641² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105457424441) 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, 52728712320 + 52728712321.

It is an arithmetic number, because the mean of its divisors is an integer number (52728712321).

Almost surely, 2^105457424641 is an apocalyptic number.

It is an amenable number.

105457424641 is a deficient number, since it is larger than the sum of its proper divisors (1).

105457424641 is an equidigital number, since it uses as much as digits as its factorization.

105457424641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 537600, while the sum is 43.

The spelling of 105457424641 in words is "one hundred five billion, four hundred fifty-seven million, four hundred twenty-four thousand, six hundred forty-one".