105339382848 has 560 divisors, whose sum is σ = 381199948800. Its totient is φ = 28113039360.

The previous prime is 105339382829. The next prime is 105339382849. The reversal of 105339382848 is 848283933501.

105339382848 is a `hidden beast` number, since 10 + 533 + 9 + 38 + 28 + 48 = 666.

It is a super-2 number, since 2×105339382848² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 105339382794 and 105339382803.

It is not an unprimeable number, because it can be changed into a prime (105339382849) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32621298 + ... + 32624526.

Almost surely, 2^105339382848 is an apocalyptic number.

105339382848 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 105339382848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190599974400).

105339382848 is an abundant number, since it is smaller than the sum of its proper divisors (275860565952).

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

105339382848 is a wasteful number, since it uses less digits than its factorization.

105339382848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3320 (or 3301 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 105339382848 in words is "one hundred five billion, three hundred thirty-nine million, three hundred eighty-two thousand, eight hundred forty-eight".