102432616 has 128 divisors (see below), whose sum is σ = 250387200. Its totient is φ = 38522880.

The previous prime is 102432607. The next prime is 102432653. The reversal of 102432616 is 616234201.

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, 447190 + ... + 447418.

It is an arithmetic number, because the mean of its divisors is an integer number (1956150).

Almost surely, 2^102432616 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 102432616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125193600).

102432616 is an abundant number, since it is smaller than the sum of its proper divisors (147954584).

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

102432616 is a wasteful number, since it uses less digits than its factorization.

102432616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 102432616 is about 10120.8999599838. The cubic root of 102432616 is about 467.8925045926.

Adding to 102432616 its reverse (616234201), we get a palindrome (718666817).

The spelling of 102432616 in words is "one hundred two million, four hundred thirty-two thousand, six hundred sixteen".