105740093 has 2 divisors, whose sum is σ = 105740094. Its totient is φ = 105740092.

The previous prime is 105740071. The next prime is 105740123. The reversal of 105740093 is 390047501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105740089 + 4 = 10283^2 + 2^2 .

It is a cyclic number.

It is not a de Polignac number, because 105740093 - 2⁶ = 105740029 is a prime.

It is a super-3 number, since 3×105740093³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105740693) 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, 52870046 + 52870047.

It is an arithmetic number, because the mean of its divisors is an integer number (52870047).

Almost surely, 2^105740093 is an apocalyptic number.

It is an amenable number.

105740093 is a deficient number, since it is larger than the sum of its proper divisors (1).

105740093 is an equidigital number, since it uses as much as digits as its factorization.

105740093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 105740093 is about 10283.0001944958. Note that the first 3 decimals coincide. The cubic root of 105740093 is about 472.8752268898.

Adding to 105740093 its reverse (390047501), we get a palindrome (495787594).

The spelling of 105740093 in words is "one hundred five million, seven hundred forty thousand, ninety-three".