105505611007 has 2 divisors, whose sum is σ = 105505611008. Its totient is φ = 105505611006.

The previous prime is 105505610999. The next prime is 105505611011. The reversal of 105505611007 is 700116505501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105505611007 - 2³ = 105505610999 is a prime.

It is a super-2 number, since 2×105505611007² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105505611007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105505611097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52752805503 + 52752805504.

It is an arithmetic number, because the mean of its divisors is an integer number (52752805504).

Almost surely, 2^105505611007 is an apocalyptic number.

105505611007 is a deficient number, since it is larger than the sum of its proper divisors (1).

105505611007 is an equidigital number, since it uses as much as digits as its factorization.

105505611007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5250, while the sum is 31.

The spelling of 105505611007 in words is "one hundred five billion, five hundred five million, six hundred eleven thousand, seven".