103928832 has 220 divisors, whose sum is σ = 356669280. Its totient is φ = 29528064.

The previous prime is 103928831. The next prime is 103928857. The reversal of 103928832 is 238829301.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103928831) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 580519 + ... + 580697.

It is an arithmetic number, because the mean of its divisors is an integer number (1621224).

Almost surely, 2^103928832 is an apocalyptic number.

103928832 is a gapful number since it is divisible by the number (12) 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 103928832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178334640).

103928832 is an abundant number, since it is smaller than the sum of its proper divisors (252740448).

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

103928832 is an equidigital number, since it uses as much as digits as its factorization.

103928832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 103928832 is about 10194.5491317664. The cubic root of 103928832 is about 470.1596439722.

The spelling of 103928832 in words is "one hundred three million, nine hundred twenty-eight thousand, eight hundred thirty-two".