103102033200 has 180 divisors, whose sum is σ = 348569161128. Its totient is φ = 26046720000.

The previous prime is 103102033183. The next prime is 103102033201. The reversal of 103102033200 is 2330201301.

103102033200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 103102033200.

It is not an unprimeable number, because it can be changed into a prime (103102033201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 314200 + ... + 552200.

Almost surely, 2^103102033200 is an apocalyptic number.

103102033200 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 103102033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174284580564).

103102033200 is an abundant number, since it is smaller than the sum of its proper divisors (245467127928).

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

103102033200 is a wasteful number, since it uses less digits than its factorization.

103102033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238060 (or 238030 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 103102033200 its reverse (2330201301), we get a palindrome (105432234501).

The spelling of 103102033200 in words is "one hundred three billion, one hundred two million, thirty-three thousand, two hundred".