103320111400 has 192 divisors, whose sum is σ = 278592436800. Its totient is φ = 35239680000.

The previous prime is 103320111379. The next prime is 103320111407. The reversal of 103320111400 is 4111023301.

It is not an unprimeable number, because it can be changed into a prime (103320111407) 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, 4209564 + ... + 4234036.

It is an arithmetic number, because the mean of its divisors is an integer number (1451002275).

Almost surely, 2^103320111400 is an apocalyptic number.

103320111400 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 103320111400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139296218400).

103320111400 is an abundant number, since it is smaller than the sum of its proper divisors (175272325400).

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

103320111400 is a wasteful number, since it uses less digits than its factorization.

103320111400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24620 (or 24611 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 103320111400 its reverse (4111023301), we get a palindrome (107431134701).

The spelling of 103320111400 in words is "one hundred three billion, three hundred twenty million, one hundred eleven thousand, four hundred".