102414324 has 96 divisors (see below), whose sum is σ = 263208960. Its totient is φ = 30868992.

The previous prime is 102414293. The next prime is 102414337. The reversal of 102414324 is 423414201.

It is a super-3 number, since 3×102414324³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102414324.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 806349 + ... + 806475.

It is an arithmetic number, because the mean of its divisors is an integer number (2741760).

Almost surely, 2^102414324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102414324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131604480).

102414324 is an abundant number, since it is smaller than the sum of its proper divisors (160794636).

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

102414324 is a wasteful number, since it uses less digits than its factorization.

102414324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 102414324 is about 10119.9962450586. The cubic root of 102414324 is about 467.8646514877.

Adding to 102414324 its reverse (423414201), we get a palindrome (525828525).

The spelling of 102414324 in words is "one hundred two million, four hundred fourteen thousand, three hundred twenty-four".