104775799919616 has 1408 divisors, whose sum is σ = 377705161195520. Its totient is φ = 28063472025600.

The previous prime is 104775799919597. The next prime is 104775799919671. The reversal of 104775799919616 is 616919997577401.

104775799919616 is a `hidden beast` number, since 1 + 0 + 477 + 5 + 79 + 9 + 9 + 19 + 61 + 6 = 666.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 24520428456 + ... + 24520432728.

Almost surely, 2^{104775799919616} is an apocalyptic number.

104775799919616 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 104775799919616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188852580597760).

104775799919616 is an abundant number, since it is smaller than the sum of its proper divisors (272929361275904).

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

104775799919616 is a wasteful number, since it uses less digits than its factorization.

104775799919616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4468 (or 4444 counting only the distinct ones).

The product of its (nonzero) digits is 1620304560, while the sum is 81.

The spelling of 104775799919616 in words is "one hundred four trillion, seven hundred seventy-five billion, seven hundred ninety-nine million, nine hundred nineteen thousand, six hundred sixteen".