103324304400 has 240 divisors, whose sum is σ = 341367865344. Its totient is φ = 26698775040.

The previous prime is 103324304359. The next prime is 103324304401. The reversal of 103324304400 is 4403423301.

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 not an unprimeable number, because it can be changed into a prime (103324304401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6545317 + ... + 6561083.

Almost surely, 2^103324304400 is an apocalyptic number.

103324304400 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 103324304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170683932672).

103324304400 is an abundant number, since it is smaller than the sum of its proper divisors (238043560944).

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

103324304400 is a wasteful number, since it uses less digits than its factorization.

103324304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15958 (or 15947 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 103324304400 its reverse (4403423301), we get a palindrome (107727727701).

The spelling of 103324304400 in words is "one hundred three billion, three hundred twenty-four million, three hundred four thousand, four hundred".