105240593 has 2 divisors, whose sum is σ = 105240594. Its totient is φ = 105240592.

The previous prime is 105240547. The next prime is 105240643. The reversal of 105240593 is 395042501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103571329 + 1669264 = 10177^2 + 1292^2 .

It is a cyclic number.

It is not a de Polignac number, because 105240593 - 2⁸ = 105240337 is a prime.

It is a super-2 number, since 2×105240593² = 22151164829983298, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105240503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52620296 + 52620297.

It is an arithmetic number, because the mean of its divisors is an integer number (52620297).

Almost surely, 2^105240593 is an apocalyptic number.

It is an amenable number.

105240593 is a deficient number, since it is larger than the sum of its proper divisors (1).

105240593 is an equidigital number, since it uses as much as digits as its factorization.

105240593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 105240593 is about 10258.6837849697. The cubic root of 105240593 is about 472.1294546404.

The spelling of 105240593 in words is "one hundred five million, two hundred forty thousand, five hundred ninety-three".