102982880 has 192 divisors, whose sum is σ = 327172608. Its totient is φ = 29583360.

The previous prime is 102982871. The next prime is 102982883. The reversal of 102982880 is 88289201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102982883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159839 + ... + 160481.

It is an arithmetic number, because the mean of its divisors is an integer number (1704024).

Almost surely, 2^102982880 is an apocalyptic number.

102982880 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 102982880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163586304).

102982880 is an abundant number, since it is smaller than the sum of its proper divisors (224189728).

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

102982880 is a wasteful number, since it uses less digits than its factorization.

102982880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 38.

The square root of 102982880 is about 10148.0480881793. The cubic root of 102982880 is about 468.7288421858.

The spelling of 102982880 in words is "one hundred two million, nine hundred eighty-two thousand, eight hundred eighty".