105318092880 has 960 divisors, whose sum is σ = 499948001280. Its totient is φ = 19135180800.

The previous prime is 105318092849. The next prime is 105318092903. The reversal of 105318092880 is 88290813501.

It is a happy number.

105318092880 is a `hidden beast` number, since 10 + 531 + 8 + 0 + 9 + 28 + 80 = 666.

It is a super-2 number, since 2×105318092880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13689835 + ... + 13697525.

It is an arithmetic number, because the mean of its divisors is an integer number (520779168).

Almost surely, 2^105318092880 is an apocalyptic number.

105318092880 is a gapful number since it is divisible by the number (10) 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 105318092880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249974000640).

105318092880 is an abundant number, since it is smaller than the sum of its proper divisors (394629908400).

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

105318092880 is a wasteful number, since it uses less digits than its factorization.

105318092880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7760 (or 7751 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 105318092880 in words is "one hundred five billion, three hundred eighteen million, ninety-two thousand, eight hundred eighty".