103201200 has 180 divisors, whose sum is σ = 362796720. Its totient is φ = 27164160.

The previous prime is 103201187. The next prime is 103201211. The reversal of 103201200 is 2102301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 392269 + ... + 392531.

Almost surely, 2^103201200 is an apocalyptic number.

103201200 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 103201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181398360).

103201200 is an abundant number, since it is smaller than the sum of its proper divisors (259595520).

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

103201200 is a wasteful number, since it uses less digits than its factorization.

103201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 103201200 is about 10158.7991416309. The cubic root of 103201200 is about 469.0598378227.

Adding to 103201200 its reverse (2102301), we get a palindrome (105303501).

The spelling of 103201200 in words is "one hundred three million, two hundred one thousand, two hundred".