105218083338 has 8 divisors (see below), whose sum is σ = 210436166688. Its totient is φ = 35072694444.

The previous prime is 105218083337. The next prime is 105218083343. The reversal of 105218083338 is 833380812501.

It is a sphenic number, since it is the product of 3 distinct primes.

105218083338 is an admirable number.

It is a super-2 number, since 2×105218083338² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105218083338.

It is not an unprimeable number, because it can be changed into a prime (105218083331) 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 3 ways as a sum of consecutive naturals, for example, 8768173606 + ... + 8768173617.

It is an arithmetic number, because the mean of its divisors is an integer number (26304520836).

Almost surely, 2^105218083338 is an apocalyptic number.

105218083338 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

105218083338 is a wasteful number, since it uses less digits than its factorization.

105218083338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17536347228.

The product of its (nonzero) digits is 138240, while the sum is 42.

Adding to 105218083338 its reverse (833380812501), we get a palindrome (938598895839).

The spelling of 105218083338 in words is "one hundred five billion, two hundred eighteen million, eighty-three thousand, three hundred thirty-eight".