105010144 has 48 divisors (see below), whose sum is σ = 219252096. Its totient is φ = 49420800.

The previous prime is 105010127. The next prime is 105010151. The reversal of 105010144 is 441010501.

It is a super-2 number, since 2×105010144² = 22054260685801472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 35274 + ... + 38134.

It is an arithmetic number, because the mean of its divisors is an integer number (4567752).

Almost surely, 2^105010144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105010144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109626048).

105010144 is an abundant number, since it is smaller than the sum of its proper divisors (114241952).

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

105010144 is a wasteful number, since it uses less digits than its factorization.

105010144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2939 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 105010144 is about 10247.4457305223. The cubic root of 105010144 is about 471.7845900147.

Adding to 105010144 its reverse (441010501), we get a palindrome (546020645).

The spelling of 105010144 in words is "one hundred five million, ten thousand, one hundred forty-four".