105052444 has 48 divisors (see below), whose sum is σ = 222181120. Its totient is φ = 42574896.

The previous prime is 105052433. The next prime is 105052487. The reversal of 105052444 is 444250501.

It is a happy number.

It is a super-2 number, since 2×105052444² = 22072031980746272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191779 + ... + 192325.

Almost surely, 2^105052444 is an apocalyptic number.

105052444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105052444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111090560).

105052444 is an abundant number, since it is smaller than the sum of its proper divisors (117128676).

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

105052444 is an equidigital number, since it uses as much as digits as its factorization.

105052444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 105052444 is about 10249.5094516762. The cubic root of 105052444 is about 471.8479293214.

The spelling of 105052444 in words is "one hundred five million, fifty-two thousand, four hundred forty-four".