102259 has 2 divisors, whose sum is σ = 102260. Its totient is φ = 102258.

The previous prime is 102253. The next prime is 102293. The reversal of 102259 is 952201.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 102259 - 2³ = 102251 is a prime.

It is not a weakly prime, because it can be changed into another prime (102251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51129 + 51130.

It is an arithmetic number, because the mean of its divisors is an integer number (51130).

2¹⁰²²⁵⁹ is an apocalyptic number.

102259 is a deficient number, since it is larger than the sum of its proper divisors (1).

102259 is an equidigital number, since it uses as much as digits as its factorization.

102259 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 102259 is about 319.7796116077. The cubic root of 102259 is about 46.7628006927.

It can be divided in two parts, 1022 and 59, that added together give a triangular number (1081 = T₄₆).

The spelling of 102259 in words is "one hundred two thousand, two hundred fifty-nine".