105180919 has 2 divisors, whose sum is σ = 105180920. Its totient is φ = 105180918.

The previous prime is 105180869. The next prime is 105180931. The reversal of 105180919 is 919081501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105180919 - 2¹⁹ = 104656631 is a prime.

It is a super-2 number, since 2×105180919² = 22126051443369122, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105180319) 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, 52590459 + 52590460.

It is an arithmetic number, because the mean of its divisors is an integer number (52590460).

Almost surely, 2^105180919 is an apocalyptic number.

105180919 is a deficient number, since it is larger than the sum of its proper divisors (1).

105180919 is an equidigital number, since it uses as much as digits as its factorization.

105180919 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 34.

The square root of 105180919 is about 10255.7749097764. The cubic root of 105180919 is about 472.0402014380.

The spelling of 105180919 in words is "one hundred five million, one hundred eighty thousand, nine hundred nineteen".