103205200 has 240 divisors, whose sum is σ = 309980160. Its totient is φ = 32256000.

The previous prime is 103205197. The next prime is 103205213. The reversal of 103205200 is 2502301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2517180 + ... + 2517220.

It is an arithmetic number, because the mean of its divisors is an integer number (1291584).

Almost surely, 2^103205200 is an apocalyptic number.

103205200 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 103205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154990080).

103205200 is an abundant number, since it is smaller than the sum of its proper divisors (206774960).

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

103205200 is a wasteful number, since it uses less digits than its factorization.

103205200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 103205200 is about 10158.9960133864. The cubic root of 103205200 is about 469.0658978785.

Adding to 103205200 its reverse (2502301), we get a palindrome (105707501).

The spelling of 103205200 in words is "one hundred three million, two hundred five thousand, two hundred".