102059 has 2 divisors, whose sum is σ = 102060. Its totient is φ = 102058.

The previous prime is 102043. The next prime is 102061. The reversal of 102059 is 950201.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 102059 - 2⁴ = 102043 is a prime.

Together with 102061, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102059.

It is not a weakly prime, because it can be changed into another prime (102019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51029 + 51030.

It is an arithmetic number, because the mean of its divisors is an integer number (51030).

2¹⁰²⁰⁵⁹ is an apocalyptic number.

102059 is a deficient number, since it is larger than the sum of its proper divisors (1).

102059 is an equidigital number, since it uses as much as digits as its factorization.

102059 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 102059 is about 319.4667431831. The cubic root of 102059 is about 46.7322942855.

The spelling of 102059 in words is "one hundred two thousand, fifty-nine".