103233541200 has 120 divisors (see below), whose sum is σ = 331429680000. Its totient is φ = 27467489280.

The previous prime is 103233541189. The next prime is 103233541211. The reversal of 103233541200 is 2145332301.

103233541200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (103233541189) and next prime (103233541211).

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 (24).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 443001 + ... + 634599.

It is an arithmetic number, because the mean of its divisors is an integer number (2761914000).

Almost surely, 2^103233541200 is an apocalyptic number.

103233541200 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 103233541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165714840000).

103233541200 is an abundant number, since it is smaller than the sum of its proper divisors (228196138800).

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

103233541200 is a wasteful number, since it uses less digits than its factorization.

103233541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192069 (or 192058 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 103233541200 its reverse (2145332301), we get a palindrome (105378873501).

The spelling of 103233541200 in words is "one hundred three billion, two hundred thirty-three million, five hundred forty-one thousand, two hundred".