105203728 has 80 divisors (see below), whose sum is σ = 244270080. Its totient is φ = 42951168.

The previous prime is 105203723. The next prime is 105203729. The reversal of 105203728 is 827302501.

It is a super-2 number, since 2×105203728² = 22135648770195968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 105203696 and 105203705.

It is not an unprimeable number, because it can be changed into a prime (105203723) 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, 219393 + ... + 219871.

It is an arithmetic number, because the mean of its divisors is an integer number (3053376).

Almost surely, 2^105203728 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 105203728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122135040).

105203728 is an abundant number, since it is smaller than the sum of its proper divisors (139066352).

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

105203728 is a wasteful number, since it uses less digits than its factorization.

105203728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 105203728 is about 10256.8868571317. The cubic root of 105203728 is about 472.0743203855.

The spelling of 105203728 in words is "one hundred five million, two hundred three thousand, seven hundred twenty-eight".