103322412400 has 240 divisors, whose sum is σ = 270736671744. Its totient is φ = 37784355840.

The previous prime is 103322412397. The next prime is 103322412409. The reversal of 103322412400 is 4214223301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103322412409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18590422 + ... + 18595978.

Almost surely, 2^103322412400 is an apocalyptic number.

103322412400 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 103322412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135368335872).

103322412400 is an abundant number, since it is smaller than the sum of its proper divisors (167414259344).

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

103322412400 is a wasteful number, since it uses less digits than its factorization.

103322412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5688 (or 5677 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 103322412400 its reverse (4214223301), we get a palindrome (107536635701).

The spelling of 103322412400 in words is "one hundred three billion, three hundred twenty-two million, four hundred twelve thousand, four hundred".