102128080 has 40 divisors (see below), whose sum is σ = 238312872. Its totient is φ = 40702464.

The previous prime is 102128071. The next prime is 102128087. The reversal of 102128080 is 80821201.

It can be written as a sum of positive squares in 4 ways, for example, as 69956496 + 32171584 = 8364^2 + 5672^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102128087) 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, 21262 + ... + 25618.

Almost surely, 2^102128080 is an apocalyptic number.

102128080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102128080 is an abundant number, since it is smaller than the sum of its proper divisors (136184792).

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

102128080 is a wasteful number, since it uses less digits than its factorization.

102128080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4663 (or 4657 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 102128080 is about 10105.8438539293. The cubic root of 102128080 is about 467.4283570046.

Adding to 102128080 its reverse (80821201), we get a palindrome (182949281).

The spelling of 102128080 in words is "one hundred two million, one hundred twenty-eight thousand, eighty".