102009096 has 96 divisors (see below), whose sum is σ = 325977600. Its totient is φ = 28200960.

The previous prime is 102009079. The next prime is 102009097. The reversal of 102009096 is 690900201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102009097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12360 + ... + 18888.

It is an arithmetic number, because the mean of its divisors is an integer number (3395600).

Almost surely, 2^102009096 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 102009096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162988800).

102009096 is an abundant number, since it is smaller than the sum of its proper divisors (223968504).

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

102009096 is a wasteful number, since it uses less digits than its factorization.

102009096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6579 (or 6572 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 102009096 is about 10099.9552474256. The cubic root of 102009096 is about 467.2467611489.

Adding to 102009096 its reverse (690900201), we get a palindrome (792909297).

The spelling of 102009096 in words is "one hundred two million, nine thousand, ninety-six".