103200212400 has 240 divisors, whose sum is σ = 338133739008. Its totient is φ = 26893440000.

The previous prime is 103200212387. The next prime is 103200212417. The reversal of 103200212400 is 4212002301.

103200212400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×103200212400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103200212400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59275530 + ... + 59277270.

Almost surely, 2^103200212400 is an apocalyptic number.

103200212400 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 103200212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169066869504).

103200212400 is an abundant number, since it is smaller than the sum of its proper divisors (234933526608).

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

103200212400 is a wasteful number, since it uses less digits than its factorization.

103200212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 103200212400 its reverse (4212002301), we get a palindrome (107412214701).

The spelling of 103200212400 in words is "one hundred three billion, two hundred million, two hundred twelve thousand, four hundred".