105044000 has 48 divisors (see below), whose sum is σ = 258102936. Its totient is φ = 42016000.

The previous prime is 105043979. The next prime is 105044011. The reversal of 105044000 is 440501.

It can be written as a sum of positive squares in 4 ways, for example, as 4963984 + 100080016 = 2228^2 + 10004^2 .

It is a super-2 number, since 2×105044000² = 22068483872000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9131 + ... + 17130.

Almost surely, 2^105044000 is an apocalyptic number.

105044000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105044000 is an abundant number, since it is smaller than the sum of its proper divisors (153058936).

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

105044000 is an equidigital number, since it uses as much as digits as its factorization.

105044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26286 (or 26268 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 105044000 is about 10249.0975212455. The cubic root of 105044000 is about 471.8352867767.

Adding to 105044000 its reverse (440501), we get a palindrome (105484501).

The spelling of 105044000 in words is "one hundred five million, forty-four thousand".