107766968064 has 72 divisors (see below), whose sum is σ = 327791210880. Its totient is φ = 30790560768.

The previous prime is 107766967999. The next prime is 107766968069. The reversal of 107766968064 is 460869667701.

It is a happy number.

It is a super-3 number, since 3×107766968064³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 107766967989 and 107766968007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107766968069) 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 7 ways as a sum of consecutive naturals, for example, 10017594 + ... + 10028345.

Almost surely, 2^107766968064 is an apocalyptic number.

107766968064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

107766968064 is an abundant number, since it is smaller than the sum of its proper divisors (220024242816).

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

107766968064 is an equidigital number, since it uses as much as digits as its factorization.

107766968064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20045965 (or 20045951 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 107766968064 in words is "one hundred seven billion, seven hundred sixty-six million, nine hundred sixty-eight thousand, sixty-four".