103107308304 has 480 divisors, whose sum is σ = 375282837504. Its totient is φ = 23642910720.

The previous prime is 103107308261. The next prime is 103107308309. The reversal of 103107308304 is 403803701301.

103107308304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103107308304² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103107308309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14362764 + ... + 14369940.

Almost surely, 2^103107308304 is an apocalyptic number.

103107308304 is a gapful number since it is divisible by the number (14) 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 103107308304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187641418752).

103107308304 is an abundant number, since it is smaller than the sum of its proper divisors (272175529200).

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

103107308304 is a wasteful number, since it uses less digits than its factorization.

103107308304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7255 (or 7236 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 103107308304 in words is "one hundred three billion, one hundred seven million, three hundred eight thousand, three hundred four".