103648320 has 336 divisors, whose sum is σ = 395843760. Its totient is φ = 24772608.

The previous prime is 103648319. The next prime is 103648331. The reversal of 103648320 is 23846301.

It is a happy number.

103648320 is a `hidden beast` number, since 10 + 3 + 648 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1557504 + 102090816 = 1248^2 + 10104^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1419804 + ... + 1419876.

Almost surely, 2^103648320 is an apocalyptic number.

103648320 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 103648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197921880).

103648320 is an abundant number, since it is smaller than the sum of its proper divisors (292195440).

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

103648320 is a wasteful number, since it uses less digits than its factorization.

103648320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 103648320 is about 10180.7818953163. The cubic root of 103648320 is about 469.7362636837.

The spelling of 103648320 in words is "one hundred three million, six hundred forty-eight thousand, three hundred twenty".