105853684848 has 80 divisors (see below), whose sum is σ = 293862620160. Its totient is φ = 32713325568.

The previous prime is 105853684817. The next prime is 105853684873. The reversal of 105853684848 is 848486358501.

It is a super-2 number, since 2×105853684848² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 105853684791 and 105853684800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 913408 + ... + 1022751.

It is an arithmetic number, because the mean of its divisors is an integer number (3673282752).

Almost surely, 2^105853684848 is an apocalyptic number.

It is an amenable number.

105853684848 is an abundant number, since it is smaller than the sum of its proper divisors (188008935312).

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

105853684848 is a wasteful number, since it uses less digits than its factorization.

105853684848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936254 (or 1936248 counting only the distinct ones).

The product of its (nonzero) digits is 29491200, while the sum is 60.

The spelling of 105853684848 in words is "one hundred five billion, eight hundred fifty-three million, six hundred eighty-four thousand, eight hundred forty-eight".