103288320 has 120 divisors (see below), whose sum is σ = 357796296. Its totient is φ = 27537408.

The previous prime is 103288319. The next prime is 103288333. The reversal of 103288320 is 23882301.

103288320 is a `hidden beast` number, since 10 + 328 + 8 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20799 + ... + 25281.

Almost surely, 2^103288320 is an apocalyptic number.

103288320 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 103288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178898148).

103288320 is an abundant number, since it is smaller than the sum of its proper divisors (254507976).

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

103288320 is an equidigital number, since it uses as much as digits as its factorization.

103288320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4512 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 103288320 is about 10163.0861454580. The cubic root of 103288320 is about 469.1917904211.

It can be divided in two parts, 10 and 3288320, that added together give a triangular number (3288330 = T₂₅₆₄).

The spelling of 103288320 in words is "one hundred three million, two hundred eighty-eight thousand, three hundred twenty".