103132244400 has 120 divisors (see below), whose sum is σ = 330472201104. Its totient is φ = 27493171200.

The previous prime is 103132244339. The next prime is 103132244429. The reversal of 103132244400 is 4442231301.

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 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, 4328520 + ... + 4352280.

Almost surely, 2^103132244400 is an apocalyptic number.

103132244400 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 103132244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165236100552).

103132244400 is an abundant number, since it is smaller than the sum of its proper divisors (227339956704).

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

103132244400 is a wasteful number, since it uses less digits than its factorization.

103132244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27399 (or 27388 counting only the distinct ones).

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

Adding to 103132244400 its reverse (4442231301), we get a palindrome (107574475701).

The spelling of 103132244400 in words is "one hundred three billion, one hundred thirty-two million, two hundred forty-four thousand, four hundred".