105000828 has 12 divisors (see below), whose sum is σ = 245001960. Its totient is φ = 35000272.

The previous prime is 105000827. The next prime is 105000839. The reversal of 105000828 is 828000501.

105000828 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×105000828² = 22050347761371168, which contains 22 as substring.

105000828 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 105000798 and 105000807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105000827) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4375023 + ... + 4375046.

It is an arithmetic number, because the mean of its divisors is an integer number (20416830).

Almost surely, 2^105000828 is an apocalyptic number.

It is an amenable number.

105000828 is an abundant number, since it is smaller than the sum of its proper divisors (140001132).

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

105000828 is a wasteful number, since it uses less digits than its factorization.

105000828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8750076 (or 8750074 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 105000828 is about 10246.9911681430. The cubic root of 105000828 is about 471.7706381080.

The spelling of 105000828 in words is "one hundred five million, eight hundred twenty-eight", and thus it is an aban number.