103200013200 has 120 divisors (see below), whose sum is σ = 331302920256. Its totient is φ = 27460160000.

The previous prime is 103200013177. The next prime is 103200013219. The reversal of 103200013200 is 2310002301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 459925 + ... + 646475.

Almost surely, 2^103200013200 is an apocalyptic number.

103200013200 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 103200013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165651460128).

103200013200 is an abundant number, since it is smaller than the sum of its proper divisors (228102907056).

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

103200013200 is a wasteful number, since it uses less digits than its factorization.

103200013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187033 (or 187022 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 103200013200 its reverse (2310002301), we get a palindrome (105510015501).

The spelling of 103200013200 in words is "one hundred three billion, two hundred million, thirteen thousand, two hundred".