105318248290 has 32 divisors (see below), whose sum is σ = 192201803136. Its totient is φ = 41543280000.

The previous prime is 105318248263. The next prime is 105318248297. The reversal of 105318248290 is 92842813501.

It is a super-2 number, since 2×105318248290² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (105318248297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8206819 + ... + 8219641.

It is an arithmetic number, because the mean of its divisors is an integer number (6006306348).

Almost surely, 2^105318248290 is an apocalyptic number.

105318248290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105318248290 is a deficient number, since it is larger than the sum of its proper divisors (86883554846).

105318248290 is a wasteful number, since it uses less digits than its factorization.

105318248290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24154.

The product of its (nonzero) digits is 138240, while the sum is 43.

The spelling of 105318248290 in words is "one hundred five billion, three hundred eighteen million, two hundred forty-eight thousand, two hundred ninety".