105444100 has 18 divisors (see below), whose sum is σ = 228813914. Its totient is φ = 42177600.

The previous prime is 105444089. The next prime is 105444109. The reversal of 105444100 is 1444501.

It can be written as a sum of positive squares in 3 ways, for example, as 1077444 + 104366656 = 1038^2 + 10216^2 .

It is a super-2 number, since 2×105444100² = 22236916449620000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105444109) 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 5 ways as a sum of consecutive naturals, for example, 527121 + ... + 527320.

Almost surely, 2^105444100 is an apocalyptic number.

105444100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105444100 is an abundant number, since it is smaller than the sum of its proper divisors (123369814).

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

105444100 is a wasteful number, since it uses less digits than its factorization.

105444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054455 (or 1054448 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 105444100 is about 10268.5977621095. The cubic root of 105444100 is about 472.4335824825.

Adding to 105444100 its reverse (1444501), we get a palindrome (106888601).

It can be divided in two parts, 1054 and 44100, that added together give a palindrome (45154).

The spelling of 105444100 in words is "one hundred five million, four hundred forty-four thousand, one hundred".