105630444 has 72 divisors (see below), whose sum is σ = 280486752. Its totient is φ = 33454080.

The previous prime is 105630419. The next prime is 105630461. The reversal of 105630444 is 444036501.

It is a super-2 number, since 2×105630444² = 22315581399274272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159474 + ... + 160134.

Almost surely, 2^105630444 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 105630444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140243376).

105630444 is an abundant number, since it is smaller than the sum of its proper divisors (174856308).

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

105630444 is a wasteful number, since it uses less digits than its factorization.

105630444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 105630444 is about 10277.6672450513. The cubic root of 105630444 is about 472.7117183380.

Adding to 105630444 its reverse (444036501), we get a palindrome (549666945).

The spelling of 105630444 in words is "one hundred five million, six hundred thirty thousand, four hundred forty-four".