105385680153218 has 8 divisors (see below), whose sum is σ = 158185113976848. Its totient is φ = 52657308827604.

The previous prime is 105385680153209. The next prime is 105385680153269. The reversal of 105385680153218 is 812351086583501.

105385680153218 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×105385680153218² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17765620796 + ... + 17765626727.

It is an arithmetic number, because the mean of its divisors is an integer number (19773139247106).

Almost surely, 2^{105385680153218} is an apocalyptic number.

105385680153218 is a deficient number, since it is larger than the sum of its proper divisors (52799433823630).

105385680153218 is a wasteful number, since it uses less digits than its factorization.

105385680153218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35531249008.

The product of its (nonzero) digits is 6912000, while the sum is 56.

The spelling of 105385680153218 in words is "one hundred five trillion, three hundred eighty-five billion, six hundred eighty million, one hundred fifty-three thousand, two hundred eighteen".