103113414300 has 144 divisors (see below), whose sum is σ = 323745028992. Its totient is φ = 25187884800.

The previous prime is 103113414199. The next prime is 103113414311. The reversal of 103113414300 is 3414311301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 409987 + ... + 611813.

It is an arithmetic number, because the mean of its divisors is an integer number (2248229368).

Almost surely, 2^103113414300 is an apocalyptic number.

103113414300 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 103113414300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161872514496).

103113414300 is an abundant number, since it is smaller than the sum of its proper divisors (220631614692).

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

103113414300 is a wasteful number, since it uses less digits than its factorization.

103113414300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201988 (or 201981 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 103113414300 its reverse (3414311301), we get a palindrome (106527725601).

The spelling of 103113414300 in words is "one hundred three billion, one hundred thirteen million, four hundred fourteen thousand, three hundred".