103917327405696 has 192 divisors, whose sum is σ = 341902735836480. Its totient is φ = 29677562855424.

The previous prime is 103917327405679. The next prime is 103917327405701. The reversal of 103917327405696 is 696504723719301.

It is a happy number.

103917327405696 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 1 + 7 + 3 + 27 + 40 + 569 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 23 ways as a sum of consecutive naturals, for example, 15438880 + ... + 21123296.

It is an arithmetic number, because the mean of its divisors is an integer number (1780743415815).

Almost surely, 2^{103917327405696} is an apocalyptic number.

103917327405696 is a gapful number since it is divisible by the number (16) 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 103917327405696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170951367918240).

103917327405696 is an abundant number, since it is smaller than the sum of its proper divisors (237985408430784).

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

103917327405696 is a wasteful number, since it uses less digits than its factorization.

103917327405696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5686711 (or 5686696 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 103917327405696 in words is "one hundred three trillion, nine hundred seventeen billion, three hundred twenty-seven million, four hundred five thousand, six hundred ninety-six".