105884485476 has 96 divisors (see below), whose sum is σ = 308334394368. Its totient is φ = 27475071360.

The previous prime is 105884485433. The next prime is 105884485481. The reversal of 105884485476 is 674584488501.

It is a happy number.

It is a super-2 number, since 2×105884485476² (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 879451 + ... + 992573.

It is an arithmetic number, because the mean of its divisors is an integer number (3211816608).

Almost surely, 2^105884485476 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 105884485476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154167197184).

105884485476 is an abundant number, since it is smaller than the sum of its proper divisors (202449908892).

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

105884485476 is a wasteful number, since it uses less digits than its factorization.

105884485476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114161 (or 114159 counting only the distinct ones).

The product of its (nonzero) digits is 34406400, while the sum is 60.

The spelling of 105884485476 in words is "one hundred five billion, eight hundred eighty-four million, four hundred eighty-five thousand, four hundred seventy-six".