105213444 has 48 divisors (see below), whose sum is σ = 281250816. Its totient is φ = 29988000.

The previous prime is 105213443. The next prime is 105213491. The reversal of 105213444 is 444312501.

It is a super-2 number, since 2×105213444² = 22139737596682272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105213443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39969 + ... + 42519.

It is an arithmetic number, because the mean of its divisors is an integer number (5859392).

Almost surely, 2^105213444 is an apocalyptic number.

105213444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105213444 is an abundant number, since it is smaller than the sum of its proper divisors (176037372).

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

105213444 is a wasteful number, since it uses less digits than its factorization.

105213444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 105213444 is about 10257.3604791876. The cubic root of 105213444 is about 472.0888526110.

Adding to 105213444 its reverse (444312501), we get a palindrome (549525945).

The spelling of 105213444 in words is "one hundred five million, two hundred thirteen thousand, four hundred forty-four".