103303401232400 has 120 divisors (see below), whose sum is σ = 249409009811400. Its totient is φ = 41118008832000.

The previous prime is 103303401232289. The next prime is 103303401232429. The reversal of 103303401232400 is 4232104303301.

It can be written as a sum of positive squares in 12 ways, for example, as 19145455304704 + 84157945927696 = 4375552^2 + 9173764^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 103303401232400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164658506 + ... + 165284694.

It is an arithmetic number, because the mean of its divisors is an integer number (2078408415095).

Almost surely, 2^{103303401232400} is an apocalyptic number.

103303401232400 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 103303401232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124704504905700).

103303401232400 is an abundant number, since it is smaller than the sum of its proper divisors (146105608579000).

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

103303401232400 is a wasteful number, since it uses less digits than its factorization.

103303401232400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628237 (or 628226 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 103303401232400 its reverse (4232104303301), we get a palindrome (107535505535701).

The spelling of 103303401232400 in words is "one hundred three trillion, three hundred three billion, four hundred one million, two hundred thirty-two thousand, four hundred".