105455680848 has 360 divisors, whose sum is σ = 382649080320. Its totient is φ = 26864732160.

The previous prime is 105455680843. The next prime is 105455680849. The reversal of 105455680848 is 848086554501.

105455680848 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 556 + 8 + 0 + 84 + 8 = 666.

It is a super-2 number, since 2×105455680848² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105455680794 and 105455680803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105455680843) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 2255953 + ... + 2302223.

It is an arithmetic number, because the mean of its divisors is an integer number (1062914112).

Almost surely, 2^105455680848 is an apocalyptic number.

105455680848 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 105455680848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191324540160).

105455680848 is an abundant number, since it is smaller than the sum of its proper divisors (277193399472).

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

105455680848 is a wasteful number, since it uses less digits than its factorization.

105455680848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46335 (or 46319 counting only the distinct ones).

The product of its (nonzero) digits is 6144000, while the sum is 54.

The spelling of 105455680848 in words is "one hundred five billion, four hundred fifty-five million, six hundred eighty thousand, eight hundred forty-eight".