103132023200 has 144 divisors (see below), whose sum is σ = 273084568344. Its totient is φ = 37878988800.

The previous prime is 103132023191. The next prime is 103132023209. The reversal of 103132023200 is 2320231301.

103132023200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (103132023191) and next prime (103132023209).

It can be written as a sum of positive squares in 12 ways, for example, as 13594627216 + 89537395984 = 116596^2 + 299228^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (103132023209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465122 + ... + 650078.

Almost surely, 2^103132023200 is an apocalyptic number.

103132023200 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 103132023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136542284172).

103132023200 is an abundant number, since it is smaller than the sum of its proper divisors (169952545144).

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

103132023200 is a wasteful number, since it uses less digits than its factorization.

103132023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185035 (or 185022 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 103132023200 its reverse (2320231301), we get a palindrome (105452254501).

The spelling of 103132023200 in words is "one hundred three billion, one hundred thirty-two million, twenty-three thousand, two hundred".