102668680114 has 128 divisors (see below), whose sum is σ = 211435660800. Its totient is φ = 36846432000.

The previous prime is 102668680087. The next prime is 102668680123. The reversal of 102668680114 is 411086866201.

It is a super-4 number, since 4×102668680114⁴ (a number of 45 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68765952 + ... + 68767444.

It is an arithmetic number, because the mean of its divisors is an integer number (1651841100).

Almost surely, 2^102668680114 is an apocalyptic number.

102668680114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

102668680114 is an abundant number, since it is smaller than the sum of its proper divisors (108766980686).

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

102668680114 is a wasteful number, since it uses less digits than its factorization.

102668680114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The spelling of 102668680114 in words is "one hundred two billion, six hundred sixty-eight million, six hundred eighty thousand, one hundred fourteen".