105040249 has 2 divisors, whose sum is σ = 105040250. Its totient is φ = 105040248.

The previous prime is 105040219. The next prime is 105040277. The reversal of 105040249 is 942040501.

105040249 is nontrivially palindromic in base 6.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86490000 + 18550249 = 9300^2 + 4307^2 .

It is a cyclic number.

It is not a de Polignac number, because 105040249 - 2¹¹ = 105038201 is a prime.

It is a super-2 number, since 2×105040249² = 22066907819964002, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105040219) 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, 52520124 + 52520125.

It is an arithmetic number, because the mean of its divisors is an integer number (52520125).

Almost surely, 2^105040249 is an apocalyptic number.

It is an amenable number.

105040249 is a deficient number, since it is larger than the sum of its proper divisors (1).

105040249 is an equidigital number, since it uses as much as digits as its factorization.

105040249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 105040249 is about 10248.9145278903. The cubic root of 105040249 is about 471.8296704786.

The spelling of 105040249 in words is "one hundred five million, forty thousand, two hundred forty-nine".