103200323200 has 144 divisors (see below), whose sum is σ = 276057540450. Its totient is φ = 38104535040.

The previous prime is 103200323153. The next prime is 103200323201. The reversal of 103200323200 is 2323002301.

It can be written as a sum of positive squares in 9 ways, for example, as 590295616 + 102610027584 = 24296^2 + 320328^2 .

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

It is not an unprimeable number, because it can be changed into a prime (103200323201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 445386 + ... + 636214.

Almost surely, 2^103200323200 is an apocalyptic number.

103200323200 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 103200323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138028770225).

103200323200 is an abundant number, since it is smaller than the sum of its proper divisors (172857217250).

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

103200323200 is a wasteful number, since it uses less digits than its factorization.

103200323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190879 (or 190849 counting only the distinct ones).

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

Adding to 103200323200 its reverse (2323002301), we get a palindrome (105523325501).

The spelling of 103200323200 in words is "one hundred three billion, two hundred million, three hundred twenty-three thousand, two hundred".