103344200004312 has 384 divisors, whose sum is σ = 296597076572160. Its totient is φ = 32443587348480.

The previous prime is 103344200004293. The next prime is 103344200004403. The reversal of 103344200004312 is 213400002443301.

103344200004312 is a `hidden beast` number, since 1 + 0 + 3 + 344 + 2 + 0 + 0 + 0 + 0 + 4 + 312 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13444018533 + ... + 13444026219.

It is an arithmetic number, because the mean of its divisors is an integer number (772388220240).

Almost surely, 2^{103344200004312} is an apocalyptic number.

103344200004312 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 103344200004312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148298538286080).

103344200004312 is an abundant number, since it is smaller than the sum of its proper divisors (193252876567848).

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

103344200004312 is a wasteful number, since it uses less digits than its factorization.

103344200004312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8343 (or 8336 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 103344200004312 its reverse (213400002443301), we get a palindrome (316744202447613).

The spelling of 103344200004312 in words is "one hundred three trillion, three hundred forty-four billion, two hundred million, four thousand, three hundred twelve".