105414414967 has 2 divisors, whose sum is σ = 105414414968. Its totient is φ = 105414414966.

The previous prime is 105414414953. The next prime is 105414415037. The reversal of 105414414967 is 769414414501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105414414967 - 2¹⁹ = 105413890679 is a prime.

It is a super-2 number, since 2×105414414967² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105414414667) 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, 52707207483 + 52707207484.

It is an arithmetic number, because the mean of its divisors is an integer number (52707207484).

Almost surely, 2^105414414967 is an apocalyptic number.

105414414967 is a deficient number, since it is larger than the sum of its proper divisors (1).

105414414967 is an equidigital number, since it uses as much as digits as its factorization.

105414414967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 105414414967 in words is "one hundred five billion, four hundred fourteen million, four hundred fourteen thousand, nine hundred sixty-seven".