105017318928 has 120 divisors (see below), whose sum is σ = 313729116480. Its totient is φ = 32696213760.

The previous prime is 105017318843. The next prime is 105017318953. The reversal of 105017318928 is 829813710501.

105017318928 is a `hidden beast` number, since 10 + 501 + 7 + 31 + 89 + 28 = 666.

It is a super-2 number, since 2×105017318928² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76051 + ... + 464562.

It is an arithmetic number, because the mean of its divisors is an integer number (2614409304).

Almost surely, 2^105017318928 is an apocalyptic number.

105017318928 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 105017318928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156864558240).

105017318928 is an abundant number, since it is smaller than the sum of its proper divisors (208711797552).

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

105017318928 is a wasteful number, since it uses less digits than its factorization.

105017318928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540717 (or 540708 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 105017318928 in words is "one hundred five billion, seventeen million, three hundred eighteen thousand, nine hundred twenty-eight".