102414304 has 48 divisors (see below), whose sum is σ = 207833472. Its totient is φ = 49650048.

The previous prime is 102414293. The next prime is 102414337. The reversal of 102414304 is 403414201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 361747 + ... + 362029.

It is an arithmetic number, because the mean of its divisors is an integer number (4329864).

Almost surely, 2^102414304 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 102414304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103916736).

102414304 is an abundant number, since it is smaller than the sum of its proper divisors (105419168).

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

102414304 is a wasteful number, since it uses less digits than its factorization.

102414304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 102414304 is about 10119.9952569159. The cubic root of 102414304 is about 467.8646210320.

Adding to 102414304 its reverse (403414201), we get a palindrome (505828505).

The spelling of 102414304 in words is "one hundred two million, four hundred fourteen thousand, three hundred four".