102314324 has 48 divisors (see below), whose sum is σ = 213736320. Its totient is φ = 41938560.

The previous prime is 102314323. The next prime is 102314341. The reversal of 102314324 is 423413201.

It is a junction number, because it is equal to n+sod(n) for n = 102314296 and 102314305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102314321) 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 15 ways as a sum of consecutive naturals, for example, 62387 + ... + 64005.

It is an arithmetic number, because the mean of its divisors is an integer number (4452840).

Almost surely, 2^102314324 is an apocalyptic number.

102314324 is a gapful number since it is divisible by the number (14) 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 102314324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106868160).

102314324 is an abundant number, since it is smaller than the sum of its proper divisors (111421996).

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

102314324 is a wasteful number, since it uses less digits than its factorization.

102314324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 102314324 is about 10115.0543251136. The cubic root of 102314324 is about 467.7123235078.

Adding to 102314324 its reverse (423413201), we get a palindrome (525727525).

The spelling of 102314324 in words is "one hundred two million, three hundred fourteen thousand, three hundred twenty-four".