103953928 has 48 divisors (see below), whose sum is σ = 220302720. Its totient is φ = 45878976.

The previous prime is 103953923. The next prime is 103953961. The reversal of 103953928 is 829359301.

It is not an unprimeable number, because it can be changed into a prime (103953923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29425 + ... + 32767.

It is an arithmetic number, because the mean of its divisors is an integer number (4589640).

Almost surely, 2^103953928 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 103953928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110151360).

103953928 is an abundant number, since it is smaller than the sum of its proper divisors (116348792).

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

103953928 is a wasteful number, since it uses less digits than its factorization.

103953928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3398 (or 3381 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 103953928 is about 10195.7799113163. The cubic root of 103953928 is about 470.1974845361.

The spelling of 103953928 in words is "one hundred three million, nine hundred fifty-three thousand, nine hundred twenty-eight".