103200350400 has 756 divisors, whose sum is σ = 442568658168. Its totient is φ = 23584296960.

The previous prime is 103200350333. The next prime is 103200350413. The reversal of 103200350400 is 4053002301.

103200350400 is a `hidden beast` number, since 10 + 3 + 200 + 3 + 50 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

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

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 19048492 + ... + 19053908.

It is an arithmetic number, because the mean of its divisors is an integer number (585408278).

Almost surely, 2^103200350400 is an apocalyptic number.

103200350400 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 103200350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221284329084).

103200350400 is an abundant number, since it is smaller than the sum of its proper divisors (339368307768).

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

103200350400 is an equidigital number, since it uses as much as digits as its factorization.

103200350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5468 (or 5434 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 103200350400 its reverse (4053002301), we get a palindrome (107253352701).

The spelling of 103200350400 in words is "one hundred three billion, two hundred million, three hundred fifty thousand, four hundred".