102305112 has 128 divisors (see below), whose sum is σ = 317990400. Its totient is φ = 26707968.

The previous prime is 102305089. The next prime is 102305141. The reversal of 102305112 is 211503201.

It is a junction number, because it is equal to n+sod(n) for n = 102305091 and 102305100.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 303408 + ... + 303744.

It is an arithmetic number, because the mean of its divisors is an integer number (2484300).

Almost surely, 2^102305112 is an apocalyptic number.

102305112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102305112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158995200).

102305112 is an abundant number, since it is smaller than the sum of its proper divisors (215685288).

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

102305112 is a wasteful number, since it uses less digits than its factorization.

102305112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 102305112 is about 10114.5989539873. The cubic root of 102305112 is about 467.6982860623.

Adding to 102305112 its reverse (211503201), we get a palindrome (313808313).

The spelling of 102305112 in words is "one hundred two million, three hundred five thousand, one hundred twelve".