103218120 has 96 divisors (see below), whose sum is σ = 337708800. Its totient is φ = 27340416.

The previous prime is 103218113. The next prime is 103218121. The reversal of 103218120 is 21812301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103218093 and 103218102.

It is not an unprimeable number, because it can be changed into a prime (103218121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57801 + ... + 59559.

It is an arithmetic number, because the mean of its divisors is an integer number (3517800).

Almost surely, 2^103218120 is an apocalyptic number.

103218120 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 103218120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168854400).

103218120 is an abundant number, since it is smaller than the sum of its proper divisors (234490680).

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

103218120 is a wasteful number, since it uses less digits than its factorization.

103218120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 103218120 is about 10159.6318830950. The cubic root of 103218120 is about 469.0854707893.

The spelling of 103218120 in words is "one hundred three million, two hundred eighteen thousand, one hundred twenty".