103113420320 has 96 divisors (see below), whose sum is σ = 249000127488. Its totient is φ = 40333483008.

The previous prime is 103113420313. The next prime is 103113420323. The reversal of 103113420320 is 23024311301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 103113420292 and 103113420301.

It is not an unprimeable number, because it can be changed into a prime (103113420323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9973874 + ... + 9984206.

It is an arithmetic number, because the mean of its divisors is an integer number (2593751328).

Almost surely, 2^103113420320 is an apocalyptic number.

103113420320 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 103113420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124500063744).

103113420320 is an abundant number, since it is smaller than the sum of its proper divisors (145886707168).

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

103113420320 is a wasteful number, since it uses less digits than its factorization.

103113420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11722 (or 11714 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 103113420320 its reverse (23024311301), we get a palindrome (126137731621).

The spelling of 103113420320 in words is "one hundred three billion, one hundred thirteen million, four hundred twenty thousand, three hundred twenty".