103303424400 has 480 divisors, whose sum is σ = 370647705600. Its totient is φ = 24379852800.

The previous prime is 103303424369. The next prime is 103303424401. The reversal of 103303424400 is 4424303301.

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 (103303424401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 166887291 + ... + 166887909.

It is an arithmetic number, because the mean of its divisors is an integer number (772182720).

Almost surely, 2^103303424400 is an apocalyptic number.

103303424400 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 103303424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185323852800).

103303424400 is an abundant number, since it is smaller than the sum of its proper divisors (267344281200).

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

103303424400 is a wasteful number, since it uses less digits than its factorization.

103303424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 956 counting only the distinct ones).

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

Adding to 103303424400 its reverse (4424303301), we get a palindrome (107727727701).

The spelling of 103303424400 in words is "one hundred three billion, three hundred three million, four hundred twenty-four thousand, four hundred".