102144 has 72 divisors (see below), whose sum is σ = 327040. Its totient is φ = 27648.

The previous prime is 102139. The next prime is 102149. The reversal of 102144 is 441201.

It is an interprime number because it is at equal distance from previous prime (102139) and next prime (102149).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102149) by changing a digit.

102144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5367 + ... + 5385.

2¹⁰²¹⁴⁴ is an apocalyptic number.

102144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163520).

102144 is an abundant number, since it is smaller than the sum of its proper divisors (224896).

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

102144 is an equidigital number, since it uses as much as digits as its factorization.

102144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 102144 is about 319.5997496870. The cubic root of 102144 is about 46.7452643739.

Adding to 102144 its reverse (441201), we get a palindrome (543345).

The spelling of 102144 in words is "one hundred two thousand, one hundred forty-four", and thus it is an iban number.