102016305 has 12 divisors (see below), whose sum is σ = 176828340. Its totient is φ = 54408672.

The previous prime is 102016267. The next prime is 102016307. The reversal of 102016305 is 503610201.

102016305 is a `hidden beast` number, since 10 + 20 + 1 + 630 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75637809 + 26378496 = 8697^2 + 5136^2 .

It is not a de Polignac number, because 102016305 - 2⁷ = 102016177 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102016307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1133470 + ... + 1133559.

It is an arithmetic number, because the mean of its divisors is an integer number (14735695).

Almost surely, 2^102016305 is an apocalyptic number.

102016305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102016305 is a deficient number, since it is larger than the sum of its proper divisors (74812035).

102016305 is a wasteful number, since it uses less digits than its factorization.

102016305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267040 (or 2267037 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 102016305 is about 10100.3121238900. The cubic root of 102016305 is about 467.2577676920.

Adding to 102016305 its reverse (503610201), we get a palindrome (605626506).

The spelling of 102016305 in words is "one hundred two million, sixteen thousand, three hundred five".