103110303320320 has 288 divisors, whose sum is σ = 249556815889920. Its totient is φ = 40816795975680.

The previous prime is 103110303320267. The next prime is 103110303320351. The reversal of 103110303320320 is 23023303011301.

It is a junction number, because it is equal to n+sod(n) for n = 103110303320291 and 103110303320300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53899791684 + ... + 53899793596.

It is an arithmetic number, because the mean of its divisors is an integer number (866516721840).

Almost surely, 2^{103110303320320} is an apocalyptic number.

103110303320320 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 103110303320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124778407944960).

103110303320320 is an abundant number, since it is smaller than the sum of its proper divisors (146446512569600).

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

103110303320320 is a wasteful number, since it uses less digits than its factorization.

103110303320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3121 (or 3107 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 103110303320320 its reverse (23023303011301), we get a palindrome (126133606331621).

The spelling of 103110303320320 in words is "one hundred three trillion, one hundred ten billion, three hundred three million, three hundred twenty thousand, three hundred twenty".