107045668263168 has 54 divisors (see below), whose sum is σ = 308639051340074. Its totient is φ = 35681889420288.

The previous prime is 107045668263167. The next prime is 107045668263181. The reversal of 107045668263168 is 861362866540701.

107045668263168 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 4 + 566 + 8 + 2 + 6 + 3 + 1 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 102523887166464 + 4521781096704 = 10125408^2 + 2126448^2 .

It is a super-2 number, since 2×107045668263168² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107045668263167) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23230394455 + ... + 23230399062.

Almost surely, 2^{107045668263168} is an apocalyptic number.

107045668263168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

107045668263168 is an abundant number, since it is smaller than the sum of its proper divisors (201593383076906).

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

107045668263168 is an equidigital number, since it uses as much as digits as its factorization.

107045668263168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46460793539 (or 46460793522 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 107045668263168 in words is "one hundred seven trillion, forty-five billion, six hundred sixty-eight million, two hundred sixty-three thousand, one hundred sixty-eight".