103200203003200 has 84 divisors (see below), whose sum is σ = 254255618716092. Its totient is φ = 41228286361600.

The previous prime is 103200203003197. The next prime is 103200203003221. The reversal of 103200203003200 is 2300302002301.

It can be written as a sum of positive squares in 6 ways, for example, as 5854038318144 + 97346164685056 = 2419512^2 + 9866416^2 .

It is a super-3 number, since 3×103200203003200³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39189121 + ... + 41739520.

It is an arithmetic number, because the mean of its divisors is an integer number (3026852603763).

Almost surely, 2^{103200203003200} is an apocalyptic number.

103200203003200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103200203003200 is an abundant number, since it is smaller than the sum of its proper divisors (151055415712892).

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

103200203003200 is an equidigital number, since it uses as much as digits as its factorization.

103200203003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80929460 (or 80929445 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 103200203003200 its reverse (2300302002301), we get a palindrome (105500505005501).

The spelling of 103200203003200 in words is "one hundred three trillion, two hundred billion, two hundred three million, three thousand, two hundred".