102089 has 4 divisors (see below), whose sum is σ = 109956. Its totient is φ = 94224.

The previous prime is 102079. The next prime is 102101. The reversal of 102089 is 980201.

102089 is nontrivially palindromic in base 4.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 980201 = 263 ⋅3727.

It can be written as a sum of positive squares in 2 ways, for example, as 7225 + 94864 = 85^2 + 308^2 .

It is not a de Polignac number, because 102089 - 2⁸ = 101833 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102089.

It is not an unprimeable number, because it can be changed into a prime (102019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3914 + ... + 3939.

It is an arithmetic number, because the mean of its divisors is an integer number (27489).

2¹⁰²⁰⁸⁹ is an apocalyptic number.

It is an amenable number.

102089 is a deficient number, since it is larger than the sum of its proper divisors (7867).

102089 is an equidigital number, since it uses as much as digits as its factorization.

102089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7866.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 102089 is about 319.5136929773. The cubic root of 102089 is about 46.7368727858.

The spelling of 102089 in words is "one hundred two thousand, eighty-nine".