102304314 has 48 divisors (see below), whose sum is σ = 255864960. Its totient is φ = 28936800.

The previous prime is 102304273. The next prime is 102304327. The reversal of 102304314 is 413403201.

102304314 is a `hidden beast` number, since 1 + 0 + 230 + 431 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon 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 23 ways as a sum of consecutive naturals, for example, 8707 + ... + 16745.

It is an arithmetic number, because the mean of its divisors is an integer number (5330520).

Almost surely, 2^102304314 is an apocalyptic number.

102304314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102304314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127932480).

102304314 is an abundant number, since it is smaller than the sum of its proper divisors (153560646).

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

102304314 is a wasteful number, since it uses less digits than its factorization.

102304314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8155 (or 8152 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 102304314 is about 10114.5595059795. The cubic root of 102304314 is about 467.6970700129.

Adding to 102304314 its reverse (413403201), we get a palindrome (515707515).

It can be divided in two parts, 10 and 2304314, that added together give a square (2304324 = 1518²).

The spelling of 102304314 in words is "one hundred two million, three hundred four thousand, three hundred fourteen".