102304320 has 112 divisors (see below), whose sum is σ = 330330048. Its totient is φ = 26818560.

The previous prime is 102304273. The next prime is 102304327. The reversal of 102304320 is 23403201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102304320.

It is not an unprimeable number, because it can be changed into a prime (102304327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57687 + ... + 59433.

Almost surely, 2^102304320 is an apocalyptic number.

102304320 is a gapful number since it is divisible by the number (10) 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 102304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165165024).

102304320 is an abundant number, since it is smaller than the sum of its proper divisors (228025728).

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

102304320 is a wasteful number, since it uses less digits than its factorization.

102304320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 102304320 is about 10114.5598025816. The cubic root of 102304320 is about 467.6970791562.

Adding to 102304320 its reverse (23403201), we get a palindrome (125707521).

The spelling of 102304320 in words is "one hundred two million, three hundred four thousand, three hundred twenty".