105500500050059 has 2 divisors, whose sum is σ = 105500500050060. Its totient is φ = 105500500050058.

The previous prime is 105500500050031. The next prime is 105500500050061. The reversal of 105500500050059 is 950050005005501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105500500050059 - 2⁸ = 105500500049803 is a prime.

It is a super-2 number, since 2×105500500050059² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 105500500050061, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105500500050259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52750250025029 + 52750250025030.

It is an arithmetic number, because the mean of its divisors is an integer number (52750250025030).

Almost surely, 2^{105500500050059} is an apocalyptic number.

105500500050059 is a deficient number, since it is larger than the sum of its proper divisors (1).

105500500050059 is an equidigital number, since it uses as much as digits as its factorization.

105500500050059 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28125, while the sum is 35.

The spelling of 105500500050059 in words is "one hundred five trillion, five hundred billion, five hundred million, fifty thousand, fifty-nine".