105501010005659 has 2 divisors, whose sum is σ = 105501010005660. Its totient is φ = 105501010005658.

The previous prime is 105501010005607. The next prime is 105501010005683. The reversal of 105501010005659 is 956500010105501.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105501010005659 is a prime.

It is a super-2 number, since 2×105501010005659² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105501010005059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52750505002829 + 52750505002830.

It is an arithmetic number, because the mean of its divisors is an integer number (52750505002830).

Almost surely, 2^{105501010005659} is an apocalyptic number.

105501010005659 is a deficient number, since it is larger than the sum of its proper divisors (1).

105501010005659 is an equidigital number, since it uses as much as digits as its factorization.

105501010005659 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 33750, while the sum is 38.

The spelling of 105501010005659 in words is "one hundred five trillion, five hundred one billion, ten million, five thousand, six hundred fifty-nine".