105144105 has 32 divisors (see below), whose sum is σ = 186283008. Its totient is φ = 50212800.

The previous prime is 105144089. The next prime is 105144107. The reversal of 105144105 is 501441501.

It is not a de Polignac number, because 105144105 - 2⁴ = 105144089 is a prime.

It is a super-2 number, since 2×105144105² = 22110565632502050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105144107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6300 + ... + 15810.

It is an arithmetic number, because the mean of its divisors is an integer number (5821344).

Almost surely, 2^105144105 is an apocalyptic number.

105144105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105144105 is a deficient number, since it is larger than the sum of its proper divisors (81138903).

105144105 is a wasteful number, since it uses less digits than its factorization.

105144105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9597.

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 105144105 is about 10253.9799590208. The cubic root of 105144105 is about 471.9851226399.

Adding to 105144105 its reverse (501441501), we get a palindrome (606585606).

The spelling of 105144105 in words is "one hundred five million, one hundred forty-four thousand, one hundred five".