103916393568 has 288 divisors, whose sum is σ = 345807221760. Its totient is φ = 29313653760.

The previous prime is 103916393533. The next prime is 103916393597. The reversal of 103916393568 is 865393619301.

103916393568 is a `hidden beast` number, since 1 + 0 + 39 + 16 + 39 + 3 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2181655 + ... + 2228777.

It is an arithmetic number, because the mean of its divisors is an integer number (1200719520).

Almost surely, 2^103916393568 is an apocalyptic number.

103916393568 is a gapful number since it is divisible by the number (18) 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 103916393568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172903610880).

103916393568 is an abundant number, since it is smaller than the sum of its proper divisors (241890828192).

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

103916393568 is a wasteful number, since it uses less digits than its factorization.

103916393568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47202 (or 47191 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 103916393568 in words is "one hundred three billion, nine hundred sixteen million, three hundred ninety-three thousand, five hundred sixty-eight".