102192 has 20 divisors (see below), whose sum is σ = 264120. Its totient is φ = 34048.

The previous prime is 102191. The next prime is 102197. The reversal of 102192 is 291201.

It is a happy number.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (102191) 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, 1017 + ... + 1112.

It is an arithmetic number, because the mean of its divisors is an integer number (13206).

2¹⁰²¹⁹² is an apocalyptic number.

102192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102192 is an abundant number, since it is smaller than the sum of its proper divisors (161928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102192 is a wasteful number, since it uses less digits than its factorization.

102192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 102192 is about 319.6748347931. The cubic root of 102192 is about 46.7525854805.

Adding to 102192 its reverse (291201), we get a palindrome (393393).

The spelling of 102192 in words is "one hundred two thousand, one hundred ninety-two".