105117619 has 2 divisors, whose sum is σ = 105117620. Its totient is φ = 105117618.

The previous prime is 105117589. The next prime is 105117653. The reversal of 105117619 is 916711501.

It is a weak prime.

It is an emirp because it is prime and its reverse (916711501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105117619 - 2⁷ = 105117491 is a prime.

It is a super-2 number, since 2×105117619² = 22099427648458322, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105117679) 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, 52558809 + 52558810.

It is an arithmetic number, because the mean of its divisors is an integer number (52558810).

Almost surely, 2^105117619 is an apocalyptic number.

105117619 is a deficient number, since it is larger than the sum of its proper divisors (1).

105117619 is an equidigital number, since it uses as much as digits as its factorization.

105117619 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1890, while the sum is 31.

The square root of 105117619 is about 10252.6883791521. The cubic root of 105117619 is about 471.9454879950.

The spelling of 105117619 in words is "one hundred five million, one hundred seventeen thousand, six hundred nineteen".