103200243010200 has 1920 divisors, whose sum is σ = 440245706757120. Its totient is φ = 21894205132800.

The previous prime is 103200243010171. The next prime is 103200243010253. The reversal of 103200243010200 is 2010342002301.

103200243010200 is a `hidden beast` number, since 1 + 0 + 3 + 20 + 0 + 2 + 430 + 10 + 200 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 17607955270 + ... + 17607961130.

It is an arithmetic number, because the mean of its divisors is an integer number (229294638936).

Almost surely, 2^{103200243010200} is an apocalyptic number.

103200243010200 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 103200243010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220122853378560).

103200243010200 is an abundant number, since it is smaller than the sum of its proper divisors (337045463746920).

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

103200243010200 is a wasteful number, since it uses less digits than its factorization.

103200243010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6119 (or 6101 counting only the distinct ones).

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

Adding to 103200243010200 its reverse (2010342002301), we get a palindrome (105210585012501).

The spelling of 103200243010200 in words is "one hundred three trillion, two hundred billion, two hundred forty-three million, ten thousand, two hundred".