105831390798 has 72 divisors (see below), whose sum is σ = 267649324488. Its totient is φ = 30134266848.

The previous prime is 105831390779. The next prime is 105831390811. The reversal of 105831390798 is 897093138501.

105831390798 is a `hidden beast` number, since 105 + 83 + 1 + 390 + 79 + 8 = 666.

It is a super-2 number, since 2×105831390798² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 53665 + ... + 463187.

It is an arithmetic number, because the mean of its divisors is an integer number (3717351729).

Almost surely, 2^105831390798 is an apocalyptic number.

105831390798 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105831390798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133824662244).

105831390798 is an abundant number, since it is smaller than the sum of its proper divisors (161817933690).

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

105831390798 is a wasteful number, since it uses less digits than its factorization.

105831390798 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409838 (or 409828 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 105831390798 in words is "one hundred five billion, eight hundred thirty-one million, three hundred ninety thousand, seven hundred ninety-eight".