103322141322400 has 432 divisors, whose sum is σ = 341231089312512. Its totient is φ = 29727047116800.

The previous prime is 103322141322347. The next prime is 103322141322451. The reversal of 103322141322400 is 4223141223301.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2944089 + ... + 14673511.

It is an arithmetic number, because the mean of its divisors is an integer number (789886780816).

Almost surely, 2^{103322141322400} is an apocalyptic number.

103322141322400 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 103322141322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170615544656256).

103322141322400 is an abundant number, since it is smaller than the sum of its proper divisors (237908947990112).

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

103322141322400 is a wasteful number, since it uses less digits than its factorization.

103322141322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11729485 (or 11729461 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 103322141322400 its reverse (4223141223301), we get a palindrome (107545282545701).

Subtracting from 103322141322400 its reverse (4223141223301), we obtain a palindrome (99099000099099).

The spelling of 103322141322400 in words is "one hundred three trillion, three hundred twenty-two billion, one hundred forty-one million, three hundred twenty-two thousand, four hundred".