102065128 has 32 divisors (see below), whose sum is σ = 210179520. Its totient is φ = 46080000.

The previous prime is 102065107. The next prime is 102065143. The reversal of 102065128 is 821560201.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9448 + ... + 17128.

It is an arithmetic number, because the mean of its divisors is an integer number (6568110).

Almost surely, 2^102065128 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 102065128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105089760).

102065128 is an abundant number, since it is smaller than the sum of its proper divisors (108114392).

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

102065128 is a wasteful number, since it uses less digits than its factorization.

102065128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7849 (or 7845 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 102065128 is about 10102.7287402959. The cubic root of 102065128 is about 467.3322959343.

The spelling of 102065128 in words is "one hundred two million, sixty-five thousand, one hundred twenty-eight".