103321200 has 120 divisors (see below), whose sum is σ = 342500400. Its totient is φ = 26593280.

The previous prime is 103321193. The next prime is 103321201. The reversal of 103321200 is 2123301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103321201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33316 + ... + 36284.

It is an arithmetic number, because the mean of its divisors is an integer number (2854170).

Almost surely, 2^103321200 is an apocalyptic number.

103321200 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 103321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171250200).

103321200 is an abundant number, since it is smaller than the sum of its proper divisors (239179200).

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

103321200 is a wasteful number, since it uses less digits than its factorization.

103321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 103321200 is about 10164.7036356207. The cubic root of 103321200 is about 469.2415714270.

Adding to 103321200 its reverse (2123301), we get a palindrome (105444501).

The spelling of 103321200 in words is "one hundred three million, three hundred twenty-one thousand, two hundred".