105054144 has 56 divisors (see below), whose sum is σ = 299344080. Its totient is φ = 32323584.

The previous prime is 105054143. The next prime is 105054151. The reversal of 105054144 is 441450501.

It is a happy number.

It is a super-2 number, since 2×105054144² = 22072746343145472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105054143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18549 + ... + 23540.

It is an arithmetic number, because the mean of its divisors is an integer number (5345430).

Almost surely, 2^105054144 is an apocalyptic number.

It is an amenable number.

105054144 is an abundant number, since it is smaller than the sum of its proper divisors (194289936).

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

105054144 is a wasteful number, since it uses less digits than its factorization.

105054144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42117 (or 42107 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 105054144 is about 10249.5923821389. The cubic root of 105054144 is about 471.8504745173.

The spelling of 105054144 in words is "one hundred five million, fifty-four thousand, one hundred forty-four".