105504118050816 has 936 divisors, whose sum is σ = 334790320999680. Its totient is φ = 33193296986112.

The previous prime is 105504118050803. The next prime is 105504118050857. The reversal of 105504118050816 is 618050811405501.

105504118050816 is a `hidden beast` number, since 1 + 0 + 5 + 50 + 4 + 1 + 1 + 80 + 508 + 16 = 666.

It is a super-2 number, since 2×105504118050816² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 172111122126 + ... + 172111122738.

It is an arithmetic number, because the mean of its divisors is an integer number (357681966880).

Almost surely, 2^{105504118050816} is an apocalyptic number.

105504118050816 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 105504118050816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167395160499840).

105504118050816 is an abundant number, since it is smaller than the sum of its proper divisors (229286202948864).

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

105504118050816 is an frugal number, since it uses more digits than its factorization.

105504118050816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 45.

The spelling of 105504118050816 in words is "one hundred five trillion, five hundred four billion, one hundred eighteen million, fifty thousand, eight hundred sixteen".