105110144 has 16 divisors (see below), whose sum is σ = 209399370. Its totient is φ = 52555008.

The previous prime is 105110141. The next prime is 105110149. The reversal of 105110144 is 441011501.

It can be written as a sum of positive squares in only one way, i.e., 62599744 + 42510400 = 7912^2 + 6520^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×105110144² = 22096284743401472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105110141) 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 as a sum of consecutive naturals, namely, 410459 + ... + 410714.

Almost surely, 2^105110144 is an apocalyptic number.

It is an amenable number.

105110144 is a deficient number, since it is larger than the sum of its proper divisors (104289226).

105110144 is an frugal number, since it uses more digits than its factorization.

105110144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821187 (or 821175 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 105110144 is about 10252.3238341363. The cubic root of 105110144 is about 471.9343009197.

Adding to 105110144 its reverse (441011501), we get a palindrome (546121645).

The spelling of 105110144 in words is "one hundred five million, one hundred ten thousand, one hundred forty-four".