103218080 has 96 divisors (see below), whose sum is σ = 280941696. Its totient is φ = 35103744.

The previous prime is 103218077. The next prime is 103218091. The reversal of 103218080 is 80812301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175547 + ... + 176133.

It is an arithmetic number, because the mean of its divisors is an integer number (2926476).

Almost surely, 2^103218080 is an apocalyptic number.

103218080 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 103218080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140470848).

103218080 is an abundant number, since it is smaller than the sum of its proper divisors (177723616).

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

103218080 is a wasteful number, since it uses less digits than its factorization.

103218080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 103218080 is about 10159.6299145195. The cubic root of 103218080 is about 469.0854101946.

The spelling of 103218080 in words is "one hundred three million, two hundred eighteen thousand, eighty".