105516510667 has 2 divisors, whose sum is σ = 105516510668. Its totient is φ = 105516510666.

The previous prime is 105516510661. The next prime is 105516510677. The reversal of 105516510667 is 766015615501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105516510667 - 2¹¹ = 105516508619 is a prime.

It is a super-2 number, since 2×105516510667² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105516510661) 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, 52758255333 + 52758255334.

It is an arithmetic number, because the mean of its divisors is an integer number (52758255334).

Almost surely, 2^105516510667 is an apocalyptic number.

105516510667 is a deficient number, since it is larger than the sum of its proper divisors (1).

105516510667 is an equidigital number, since it uses as much as digits as its factorization.

105516510667 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189000, while the sum is 43.

The spelling of 105516510667 in words is "one hundred five billion, five hundred sixteen million, five hundred ten thousand, six hundred sixty-seven".