103704322738464 has 576 divisors, whose sum is σ = 354196101901824. Its totient is φ = 28163412246528.

The previous prime is 103704322738451. The next prime is 103704322738487. The reversal of 103704322738464 is 464837223407301.

103704322738464 is a `hidden beast` number, since 1 + 0 + 3 + 7 + 0 + 432 + 2 + 73 + 84 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 103704322738464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 921080317 + ... + 921192899.

It is an arithmetic number, because the mean of its divisors is an integer number (614923788024).

Almost surely, 2^{103704322738464} is an apocalyptic number.

103704322738464 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 103704322738464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177098050950912).

103704322738464 is an abundant number, since it is smaller than the sum of its proper divisors (250491779163360).

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

103704322738464 is a wasteful number, since it uses less digits than its factorization.

103704322738464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112929 (or 112918 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 54.

The spelling of 103704322738464 in words is "one hundred three trillion, seven hundred four billion, three hundred twenty-two million, seven hundred thirty-eight thousand, four hundred sixty-four".