105868668360 has 128 divisors (see below), whose sum is σ = 390899738880. Its totient is φ = 22337123328.

The previous prime is 105868668343. The next prime is 105868668361. The reversal of 105868668360 is 63866868501.

It is a super-2 number, since 2×105868668360² (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 105868668360.

It is not an unprimeable number, because it can be changed into a prime (105868668361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4836547 + ... + 4858386.

It is an arithmetic number, because the mean of its divisors is an integer number (3053904210).

Almost surely, 2^105868668360 is an apocalyptic number.

105868668360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105868668360 is an abundant number, since it is smaller than the sum of its proper divisors (285031070520).

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

105868668360 is a wasteful number, since it uses less digits than its factorization.

105868668360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9694967 (or 9694963 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 105868668360 in words is "one hundred five billion, eight hundred sixty-eight million, six hundred sixty-eight thousand, three hundred sixty".