102766103034 has 32 divisors (see below), whose sum is σ = 235083958656. Its totient is φ = 29337992640.

The previous prime is 102766103023. The next prime is 102766103053. The reversal of 102766103034 is 430301667201.

102766103034 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102766102986 and 102766103004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 937057 + ... + 1040964.

It is an arithmetic number, because the mean of its divisors is an integer number (7346373708).

Almost surely, 2^102766103034 is an apocalyptic number.

102766103034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

102766103034 is an abundant number, since it is smaller than the sum of its proper divisors (132317855622).

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

102766103034 is a wasteful number, since it uses less digits than its factorization.

102766103034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979270.

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 102766103034 in words is "one hundred two billion, seven hundred sixty-six million, one hundred three thousand, thirty-four".