102534505305 has 32 divisors (see below), whose sum is σ = 164507728896. Its totient is φ = 54534404544.

The previous prime is 102534505301. The next prime is 102534505343. The reversal of 102534505305 is 503505435201.

It is a happy number.

It is not a de Polignac number, because 102534505305 - 2² = 102534505301 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102534505301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11486574 + ... + 11495496.

It is an arithmetic number, because the mean of its divisors is an integer number (5140866528).

Almost surely, 2^102534505305 is an apocalyptic number.

102534505305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102534505305 is a deficient number, since it is larger than the sum of its proper divisors (61973223591).

102534505305 is a wasteful number, since it uses less digits than its factorization.

102534505305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10957.

The product of its (nonzero) digits is 45000, while the sum is 33.

The spelling of 102534505305 in words is "one hundred two billion, five hundred thirty-four million, five hundred five thousand, three hundred five".