103123005312 has 256 divisors, whose sum is σ = 297484876800. Its totient is φ = 31636742144.

The previous prime is 103123005269. The next prime is 103123005319. The reversal of 103123005312 is 213500321301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103123005319) 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 31 ways as a sum of consecutive naturals, for example, 88669243 + ... + 88670405.

It is an arithmetic number, because the mean of its divisors is an integer number (1162050300).

Almost surely, 2^103123005312 is an apocalyptic number.

103123005312 is a gapful number since it is divisible by the number (12) 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 103123005312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148742438400).

103123005312 is an abundant number, since it is smaller than the sum of its proper divisors (194361871488).

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

103123005312 is an equidigital number, since it uses as much as digits as its factorization.

103123005312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 103123005312 its reverse (213500321301), we get a palindrome (316623326613).

The spelling of 103123005312 in words is "one hundred three billion, one hundred twenty-three million, five thousand, three hundred twelve".