103201432200 has 72 divisors (see below), whose sum is σ = 346584815850. Its totient is φ = 27520381440.

The previous prime is 103201432157. The next prime is 103201432207. The reversal of 103201432200 is 2234102301.

103201432200 is a `hidden beast` number, since 1 + 0 + 32 + 0 + 1 + 432 + 200 = 666.

103201432200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 93970450116 + 9230982084 = 306546^2 + 96078^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (103201432207) 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 17 ways as a sum of consecutive naturals, for example, 28665265 + ... + 28668864.

Almost surely, 2^103201432200 is an apocalyptic number.

103201432200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103201432200 is an abundant number, since it is smaller than the sum of its proper divisors (243383383650).

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

103201432200 is a wasteful number, since it uses less digits than its factorization.

103201432200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57334151 (or 57334139 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 103201432200 its reverse (2234102301), we get a palindrome (105435534501).

The spelling of 103201432200 in words is "one hundred three billion, two hundred one million, four hundred thirty-two thousand, two hundred".