103328120448 has 960 divisors, whose sum is σ = 384951916800. Its totient is φ = 27360571392.

The previous prime is 103328120429. The next prime is 103328120449. The reversal of 103328120448 is 844021823301.

It is a happy number.

103328120448 is a `hidden beast` number, since 1 + 0 + 332 + 81 + 204 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (103328120449) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 432335113 + ... + 432335351.

It is an arithmetic number, because the mean of its divisors is an integer number (400991580).

Almost surely, 2^103328120448 is an apocalyptic number.

103328120448 is a gapful number since it is divisible by the number (18) 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 103328120448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192475958400).

103328120448 is an abundant number, since it is smaller than the sum of its proper divisors (281623796352).

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

103328120448 is a wasteful number, since it uses less digits than its factorization.

103328120448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 103328120448 its reverse (844021823301), we get a palindrome (947349943749).

The spelling of 103328120448 in words is "one hundred three billion, three hundred twenty-eight million, one hundred twenty thousand, four hundred forty-eight".