103823328 has 96 divisors (see below), whose sum is σ = 318802176. Its totient is φ = 28965888.

The previous prime is 103823327. The next prime is 103823359. The reversal of 103823328 is 823328301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 103823295 and 103823304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103823327) 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, 27100 + ... + 30692.

It is an arithmetic number, because the mean of its divisors is an integer number (3320856).

Almost surely, 2^103823328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103823328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159401088).

103823328 is an abundant number, since it is smaller than the sum of its proper divisors (214978848).

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

103823328 is a wasteful number, since it uses less digits than its factorization.

103823328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3656 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 103823328 is about 10189.3732878917. The cubic root of 103823328 is about 470.0004949444. Note that the first 3 decimals are identical.

The spelling of 103823328 in words is "one hundred three million, eight hundred twenty-three thousand, three hundred twenty-eight".