102640128 has 80 divisors (see below), whose sum is σ = 287913120. Its totient is φ = 32403456.

The previous prime is 102640127. The next prime is 102640133. The reversal of 102640128 is 821046201.

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 = 102640098 and 102640107.

It is not an unprimeable number, because it can be changed into a prime (102640123) 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, 27426 + ... + 30942.

It is an arithmetic number, because the mean of its divisors is an integer number (3598914).

Almost surely, 2^102640128 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 102640128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143956560).

102640128 is an abundant number, since it is smaller than the sum of its proper divisors (185272992).

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

102640128 is an equidigital number, since it uses as much as digits as its factorization.

102640128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557 (or 3541 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 102640128 is about 10131.1464306859. The cubic root of 102640128 is about 468.2082497844.

Adding to 102640128 its reverse (821046201), we get a palindrome (923686329).

The spelling of 102640128 in words is "one hundred two million, six hundred forty thousand, one hundred twenty-eight".