103238928 has 160 divisors (see below), whose sum is σ = 329978880. Its totient is φ = 30689280.

The previous prime is 103238923. The next prime is 103238983. The reversal of 103238928 is 829832301.

It is a happy number.

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 = 103238892 and 103238901.

It is not an unprimeable number, because it can be changed into a prime (103238923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173800 + ... + 174392.

It is an arithmetic number, because the mean of its divisors is an integer number (2062368).

Almost surely, 2^103238928 is an apocalyptic number.

103238928 is a gapful number since it is divisible by the number (18) 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 103238928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164989440).

103238928 is an abundant number, since it is smaller than the sum of its proper divisors (226739952).

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

103238928 is a wasteful number, since it uses less digits than its factorization.

103238928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 642 counting only the distinct ones).

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

The square root of 103238928 is about 10160.6558843413. The cubic root of 103238928 is about 469.1169900441.

The spelling of 103238928 in words is "one hundred three million, two hundred thirty-eight thousand, nine hundred twenty-eight".