102880000 has 90 divisors (see below), whose sum is σ = 257014604. Its totient is φ = 41088000.

The previous prime is 102879967. The next prime is 102880027. The reversal of 102880000 is 88201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 102880000.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 159679 + ... + 160321.

Almost surely, 2^102880000 is an apocalyptic number.

102880000 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 102880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128507302).

102880000 is an abundant number, since it is smaller than the sum of its proper divisors (154134604).

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

102880000 is an frugal number, since it uses more digits than its factorization.

102880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 102880000 is about 10142.9778664848. The cubic root of 102880000 is about 468.5727033194.

The spelling of 102880000 in words is "one hundred two million, eight hundred eighty thousand".