102009424 has 40 divisors (see below), whose sum is σ = 216637920. Its totient is φ = 46147200.

The previous prime is 102009421. The next prime is 102009431. The reversal of 102009424 is 424900201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 102009395 and 102009404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102009421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39039 + ... + 41569.

It is an arithmetic number, because the mean of its divisors is an integer number (5415948).

Almost surely, 2^102009424 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 102009424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108318960).

102009424 is an abundant number, since it is smaller than the sum of its proper divisors (114628496).

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

102009424 is a wasteful number, since it uses less digits than its factorization.

102009424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779 (or 2773 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 102009424 is about 10099.9714851083. The cubic root of 102009424 is about 467.2472619433.

Adding to 102009424 its product of nonzero digits (576), we get a square (102010000 = 10100²).

Adding to 102009424 its reverse (424900201), we get a palindrome (526909625).

The spelling of 102009424 in words is "one hundred two million, nine thousand, four hundred twenty-four".