103983360 has 144 divisors (see below), whose sum is σ = 357814464. Its totient is φ = 25583616.

The previous prime is 103983359. The next prime is 103983361. The reversal of 103983360 is 63389301.

It is an interprime number because it is at equal distance from previous prime (103983359) and next prime (103983361).

It is not an unprimeable number, because it can be changed into a prime (103983361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48879 + ... + 50961.

Almost surely, 2^103983360 is an apocalyptic number.

103983360 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 103983360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178907232).

103983360 is an abundant number, since it is smaller than the sum of its proper divisors (253831104).

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

103983360 is a wasteful number, since it uses less digits than its factorization.

103983360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 103983360 is about 10197.2231514271. The cubic root of 103983360 is about 470.2418553030.

The spelling of 103983360 in words is "one hundred three million, nine hundred eighty-three thousand, three hundred sixty".