102431328 has 72 divisors (see below), whose sum is σ = 281220408. Its totient is φ = 32643072.

The previous prime is 102431327. The next prime is 102431359. The reversal of 102431328 is 823134201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 102431298 and 102431307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102431323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49776 + ... + 51792.

It is an arithmetic number, because the mean of its divisors is an integer number (3905839).

Almost surely, 2^102431328 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 102431328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140610204).

102431328 is an abundant number, since it is smaller than the sum of its proper divisors (178789080).

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

102431328 is a wasteful number, since it uses less digits than its factorization.

102431328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 102431328 is about 10120.8363290787. The cubic root of 102431328 is about 467.8905434722.

Adding to 102431328 its reverse (823134201), we get a palindrome (925565529).

The spelling of 102431328 in words is "one hundred two million, four hundred thirty-one thousand, three hundred twenty-eight".