105505248967 has 2 divisors, whose sum is σ = 105505248968. Its totient is φ = 105505248966.

The previous prime is 105505248943. The next prime is 105505248971. The reversal of 105505248967 is 769842505501.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (769842505501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105505248967 - 2¹¹ = 105505246919 is a prime.

It is a super-2 number, since 2×105505248967² (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 (105505248907) 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, 52752624483 + 52752624484.

It is an arithmetic number, because the mean of its divisors is an integer number (52752624484).

Almost surely, 2^105505248967 is an apocalyptic number.

105505248967 is a deficient number, since it is larger than the sum of its proper divisors (1).

105505248967 is an equidigital number, since it uses as much as digits as its factorization.

105505248967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024000, while the sum is 52.

The spelling of 105505248967 in words is "one hundred five billion, five hundred five million, two hundred forty-eight thousand, nine hundred sixty-seven".