102128880 has 320 divisors, whose sum is σ = 390832128. Its totient is φ = 21565440.

The previous prime is 102128879. The next prime is 102128891. The reversal of 102128880 is 88821201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1926934 + ... + 1926986.

Almost surely, 2^102128880 is an apocalyptic number.

102128880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102128880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195416064).

102128880 is an abundant number, since it is smaller than the sum of its proper divisors (288703248).

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

102128880 is a wasteful number, since it uses less digits than its factorization.

102128880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The square root of 102128880 is about 10105.8834349106. The cubic root of 102128880 is about 467.4295775037.

The spelling of 102128880 in words is "one hundred two million, one hundred twenty-eight thousand, eight hundred eighty".