105960543984 has 400 divisors, whose sum is σ = 336166420480. Its totient is φ = 32097461760.

The previous prime is 105960543967. The next prime is 105960543989. The reversal of 105960543984 is 489345069501.

105960543984 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 6 + 0 + 543 + 98 + 4 = 666.

It is a super-2 number, since 2×105960543984² (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 self number, because there is not a number n which added to its sum of digits gives 105960543984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105960543989) 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, 96944142 + ... + 96945234.

Almost surely, 2^105960543984 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 105960543984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168083210240).

105960543984 is an abundant number, since it is smaller than the sum of its proper divisors (230205876496).

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

105960543984 is a wasteful number, since it uses less digits than its factorization.

105960543984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 105960543984 in words is "one hundred five billion, nine hundred sixty million, five hundred forty-three thousand, nine hundred eighty-four".