105563444 has 18 divisors (see below), whose sum is σ = 214897410. Its totient is φ = 45241392.

The previous prime is 105563441. The next prime is 105563453. The reversal of 105563444 is 444365501.

It can be written as a sum of positive squares in only one way, i.e., 84860944 + 20702500 = 9212^2 + 4550^2 .

It is a super-2 number, since 2×105563444² = 22287281418282272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105563444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105563441) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 269099 + ... + 269490.

It is an arithmetic number, because the mean of its divisors is an integer number (11938745).

Almost surely, 2^105563444 is an apocalyptic number.

105563444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105563444 is an abundant number, since it is smaller than the sum of its proper divisors (109333966).

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

105563444 is a wasteful number, since it uses less digits than its factorization.

105563444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538607 (or 538598 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 105563444 is about 10274.4072335099. The cubic root of 105563444 is about 472.6117522594.

The spelling of 105563444 in words is "one hundred five million, five hundred sixty-three thousand, four hundred forty-four".