103200 has 72 divisors (see below), whose sum is σ = 343728. Its totient is φ = 26880.

The previous prime is 103183. The next prime is 103217. The reversal of 103200 is 2301.

103200 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (103183) and next prime (103217).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2379 + ... + 2421.

It is an arithmetic number, because the mean of its divisors is an integer number (4774).

2¹⁰³²⁰⁰ is an apocalyptic number.

103200 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 103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171864).

103200 is an abundant number, since it is smaller than the sum of its proper divisors (240528).

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

103200 is a wasteful number, since it uses less digits than its factorization.

103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 103200 is about 321.2475680842. The cubic root of 103200 is about 46.9058019775.

Adding to 103200 its reverse (2301), we get a palindrome (105501).

It can be divided in two parts, 103 and 200, that added together give a palindrome (303).

The spelling of 103200 in words is "one hundred three thousand, two hundred", and thus it is an iban number.