105284179968 has 288 divisors, whose sum is σ = 312174233280. Its totient is φ = 31289835520.

The previous prime is 105284179961. The next prime is 105284179999. The reversal of 105284179968 is 869971482501.

105284179968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105284179968² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105284179961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 768497596 + ... + 768497732.

It is an arithmetic number, because the mean of its divisors is an integer number (1083938310).

Almost surely, 2^105284179968 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 105284179968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156087116640).

105284179968 is an abundant number, since it is smaller than the sum of its proper divisors (206890053312).

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

105284179968 is an equidigital number, since it uses as much as digits as its factorization.

105284179968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 60.

The spelling of 105284179968 in words is "one hundred five billion, two hundred eighty-four million, one hundred seventy-nine thousand, nine hundred sixty-eight".