102405345314 has 64 divisors (see below), whose sum is σ = 171927173376. Its totient is φ = 45497954304.

The previous prime is 102405345311. The next prime is 102405345377. The reversal of 102405345314 is 413543504201.

102405345314 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102405345311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24514394 + ... + 24518570.

It is an arithmetic number, because the mean of its divisors is an integer number (2686362084).

Almost surely, 2^102405345314 is an apocalyptic number.

102405345314 is a deficient number, since it is larger than the sum of its proper divisors (69521828062).

102405345314 is a wasteful number, since it uses less digits than its factorization.

102405345314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4619.

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 102405345314 its reverse (413543504201), we get a palindrome (515948849515).

The spelling of 102405345314 in words is "one hundred two billion, four hundred five million, three hundred forty-five thousand, three hundred fourteen".