103330314040 has 128 divisors (see below), whose sum is σ = 240086384640. Its totient is φ = 40004084736.

The previous prime is 103330313959. The next prime is 103330314071. The reversal of 103330314040 is 40413033301.

It is a happy number.

It is a super-2 number, since 2×103330314040² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 109112847 + ... + 109113793.

It is an arithmetic number, because the mean of its divisors is an integer number (1875674880).

Almost surely, 2^103330314040 is an apocalyptic number.

103330314040 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 103330314040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120043192320).

103330314040 is an abundant number, since it is smaller than the sum of its proper divisors (136756070600).

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

103330314040 is a wasteful number, since it uses less digits than its factorization.

103330314040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 103330314040 its reverse (40413033301), we get a palindrome (143743347341).

The spelling of 103330314040 in words is "one hundred three billion, three hundred thirty million, three hundred fourteen thousand, forty".