105000844 has 48 divisors (see below), whose sum is σ = 208293120. Its totient is φ = 45976320.

The previous prime is 105000839. The next prime is 105000853. The reversal of 105000844 is 448000501.

105000844 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105000844² = 22050354481424672, which contains 22 as substring.

105000844 is strictly pandigital in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84822 + ... + 86050.

It is an arithmetic number, because the mean of its divisors is an integer number (4339440).

Almost surely, 2^105000844 is an apocalyptic number.

It is an amenable number.

105000844 is a deficient number, since it is larger than the sum of its proper divisors (103292276).

105000844 is a wasteful number, since it uses less digits than its factorization.

105000844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 105000844 is about 10246.9919488599. The cubic root of 105000844 is about 471.7706620707.

The spelling of 105000844 in words is "one hundred five million, eight hundred forty-four", and thus it is an aban number.