105483671964 has 288 divisors, whose sum is σ = 301320714240. Its totient is φ = 31101840000.

The previous prime is 105483671963. The next prime is 105483671981. The reversal of 105483671964 is 469176384501.

105483671964 is a `hidden beast` number, since 1 + 0 + 5 + 483 + 6 + 71 + 96 + 4 = 666.

It is a super-2 number, since 2×105483671964² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105483671964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105483671963) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 441354157 + ... + 441354395.

It is an arithmetic number, because the mean of its divisors is an integer number (1046252480).

Almost surely, 2^105483671964 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 105483671964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150660357120).

105483671964 is an abundant number, since it is smaller than the sum of its proper divisors (195837042276).

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

105483671964 is a wasteful number, since it uses less digits than its factorization.

105483671964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 105483671964 in words is "one hundred five billion, four hundred eighty-three million, six hundred seventy-one thousand, nine hundred sixty-four".