105387818318824 has 32 divisors (see below), whose sum is σ = 198459324011520. Its totient is φ = 52465352628096.

The previous prime is 105387818318813. The next prime is 105387818318921. The reversal of 105387818318824 is 428813818783501.

It is a super-2 number, since 2×105387818318824² (a number of 29 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 105387818318824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39774937 + ... + 42341719.

It is an arithmetic number, because the mean of its divisors is an integer number (6201853875360).

Almost surely, 2^{105387818318824} is an apocalyptic number.

It is an amenable number.

105387818318824 is a deficient number, since it is larger than the sum of its proper divisors (93071505692696).

105387818318824 is a wasteful number, since it uses less digits than its factorization.

105387818318824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589049 (or 2589045 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 67.

The spelling of 105387818318824 in words is "one hundred five trillion, three hundred eighty-seven billion, eight hundred eighteen million, three hundred eighteen thousand, eight hundred twenty-four".