102304113 has 32 divisors (see below), whose sum is σ = 154275840. Its totient is φ = 59915520.

The previous prime is 102304099. The next prime is 102304117. The reversal of 102304113 is 311403201.

It is not a de Polignac number, because 102304113 - 2⁸ = 102303857 is a prime.

It is a super-2 number, since 2×102304113² = 20932263073433538, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102304092 and 102304101.

It is not an unprimeable number, because it can be changed into a prime (102304117) 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 31 ways as a sum of consecutive naturals, for example, 68056 + ... + 69542.

It is an arithmetic number, because the mean of its divisors is an integer number (4821120).

Almost surely, 2^102304113 is an apocalyptic number.

It is an amenable number.

102304113 is a deficient number, since it is larger than the sum of its proper divisors (51971727).

102304113 is a wasteful number, since it uses less digits than its factorization.

102304113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 102304113 is about 10114.5495698029. The cubic root of 102304113 is about 467.6967637138.

Adding to 102304113 its reverse (311403201), we get a palindrome (413707314).

The spelling of 102304113 in words is "one hundred two million, three hundred four thousand, one hundred thirteen".