103919328 has 48 divisors (see below), whose sum is σ = 303100560. Its totient is φ = 34639488.

The previous prime is 103919327. The next prime is 103919339. The reversal of 103919328 is 823919301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 103919292 and 103919301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103919323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59275 + ... + 61002.

It is an arithmetic number, because the mean of its divisors is an integer number (6314595).

Almost surely, 2^103919328 is an apocalyptic number.

103919328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

103919328 is an abundant number, since it is smaller than the sum of its proper divisors (199181232).

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

103919328 is a wasteful number, since it uses less digits than its factorization.

103919328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120296 (or 120282 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 103919328 is about 10194.0829896563. The cubic root of 103919328 is about 470.1453119420.

The spelling of 103919328 in words is "one hundred three million, nine hundred nineteen thousand, three hundred twenty-eight".