105125144 has 64 divisors (see below), whose sum is σ = 215913600. Its totient is φ = 47798784.

The previous prime is 105125131. The next prime is 105125147. The reversal of 105125144 is 441521501.

It is a super-2 number, since 2×105125144² = 22102591802041472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105125147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 756227 + ... + 756365.

It is an arithmetic number, because the mean of its divisors is an integer number (3373650).

Almost surely, 2^105125144 is an apocalyptic number.

It is an amenable number.

105125144 is an abundant number, since it is smaller than the sum of its proper divisors (110788456).

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

105125144 is a wasteful number, since it uses less digits than its factorization.

105125144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 105125144 is about 10253.0553495044. The cubic root of 105125144 is about 471.9567493645.

Adding to 105125144 its reverse (441521501), we get a palindrome (546646645).

The spelling of 105125144 in words is "one hundred five million, one hundred twenty-five thousand, one hundred forty-four".