102434113305 has 24 divisors (see below), whose sum is σ = 177598097352. Its totient is φ = 54617485824.

The previous prime is 102434113289. The next prime is 102434113363. The reversal of 102434113305 is 503311434201.

It is a happy number.

102434113305 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 341 + 13 + 305 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20296846089 + 82137267216 = 142467^2 + 286596^2 .

It is not a de Polignac number, because 102434113305 - 2⁴ = 102434113289 is a prime.

It is a Curzon number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 114304 + ... + 466833.

It is an arithmetic number, because the mean of its divisors is an integer number (7399920723).

Almost surely, 2^102434113305 is an apocalyptic number.

102434113305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102434113305 is a deficient number, since it is larger than the sum of its proper divisors (75163984047).

102434113305 is a wasteful number, since it uses less digits than its factorization.

102434113305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585065 (or 585062 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 102434113305 its reverse (503311434201), we get a palindrome (605745547506).

The spelling of 102434113305 in words is "one hundred two billion, four hundred thirty-four million, one hundred thirteen thousand, three hundred five".