102200 has 48 divisors (see below), whose sum is σ = 275280. Its totient is φ = 34560.

The previous prime is 102199. The next prime is 102203. The reversal of 102200 is 2201.

It is a Harshad number since it is a multiple of its sum of digits (5).

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 (102203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1364 + ... + 1436.

It is an arithmetic number, because the mean of its divisors is an integer number (5735).

2¹⁰²²⁰⁰ is an apocalyptic number.

102200 is a gapful number since it is divisible by the number (10) 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 102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137640).

102200 is an abundant number, since it is smaller than the sum of its proper divisors (173080).

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

102200 is a wasteful number, since it uses less digits than its factorization.

102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 102200 is about 319.6873472629. The cubic root of 102200 is about 46.7538054420.

Adding to 102200 its reverse (2201), we get a palindrome (104401).

Subtracting from 102200 its reverse (2201), we obtain a palindrome (99999).

The spelling of 102200 in words is "one hundred two thousand, two hundred", and thus it is an iban number.