105536453298848 has 192 divisors, whose sum is σ = 257338105581312. Its totient is φ = 41919105761280.

The previous prime is 105536453298833. The next prime is 105536453298961. The reversal of 105536453298848 is 848892354635501.

It is a super-2 number, since 2×105536453298848² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5040290 + ... + 15377822.

It is an arithmetic number, because the mean of its divisors is an integer number (1340302633236).

Almost surely, 2^{105536453298848} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105536453298848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128669052790656).

105536453298848 is an abundant number, since it is smaller than the sum of its proper divisors (151801652282464).

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

105536453298848 is a wasteful number, since it uses less digits than its factorization.

105536453298848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10337687 (or 10337679 counting only the distinct ones).

The product of its (nonzero) digits is 995328000, while the sum is 71.

The spelling of 105536453298848 in words is "one hundred five trillion, five hundred thirty-six billion, four hundred fifty-three million, two hundred ninety-eight thousand, eight hundred forty-eight".