232103144400 has 240 divisors, whose sum is σ = 757262157120. Its totient is φ = 60752076800.

The previous prime is 232103144393. The next prime is 232103144437. The reversal of 232103144400 is 4441301232.

232103144400 is digitally balanced in base 2, 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 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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54726280 + ... + 54730520.

It is an arithmetic number, because the mean of its divisors is an integer number (3155258988).

Almost surely, 2^232103144400 is an apocalyptic number.

232103144400 is a gapful number since it is divisible by the number (20) 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 232103144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378631078560).

232103144400 is an abundant number, since it is smaller than the sum of its proper divisors (525159012720).

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

232103144400 is a wasteful number, since it uses less digits than its factorization.

232103144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5094 (or 5083 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 232103144400 its reverse (4441301232), we get a palindrome (236544445632).

The spelling of 232103144400 in words is "two hundred thirty-two billion, one hundred three million, one hundred forty-four thousand, four hundred".