103234433120 has 192 divisors, whose sum is σ = 302092592256. Its totient is φ = 32463175680.

The previous prime is 103234433111. The next prime is 103234433149. The reversal of 103234433120 is 21334432301.

103234433120 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 (26).

It is a self number, because there is not a number n which added to its sum of digits gives 103234433120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2263340 + ... + 2308500.

It is an arithmetic number, because the mean of its divisors is an integer number (1573398918).

Almost surely, 2^103234433120 is an apocalyptic number.

103234433120 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 103234433120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151046296128).

103234433120 is an abundant number, since it is smaller than the sum of its proper divisors (198858159136).

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

103234433120 is a wasteful number, since it uses less digits than its factorization.

103234433120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45353 (or 45345 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 103234433120 its reverse (21334432301), we get a palindrome (124568865421).

The spelling of 103234433120 in words is "one hundred three billion, two hundred thirty-four million, four hundred thirty-three thousand, one hundred twenty".