105657656123168 has 12 divisors (see below), whose sum is σ = 208013510492550. Its totient is φ = 52828828061568.

The previous prime is 105657656123119. The next prime is 105657656123207. The reversal of 105657656123168 is 861321656756501.

It can be written as a sum of positive squares in only one way, i.e., 104353007870224 + 1304648252944 = 10215332^2 + 1142212^2 .

It is a super-2 number, since 2×105657656123168² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 105657656123168.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1650900876893 + ... + 1650900876956.

Almost surely, 2^{105657656123168} is an apocalyptic number.

It is an amenable number.

105657656123168 is a deficient number, since it is larger than the sum of its proper divisors (102355854369382).

105657656123168 is an equidigital number, since it uses as much as digits as its factorization.

105657656123168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3301801753859 (or 3301801753851 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 62.

The spelling of 105657656123168 in words is "one hundred five trillion, six hundred fifty-seven billion, six hundred fifty-six million, one hundred twenty-three thousand, one hundred sixty-eight".