105124000144 has 10 divisors (see below), whose sum is σ = 203677750310. Its totient is φ = 52562000064.

The previous prime is 105124000099. The next prime is 105124000171. The reversal of 105124000144 is 441000421501.

It can be written as a sum of positive squares in only one way, i.e., 85797439744 + 19326560400 = 292912^2 + 139020^2 .

It is a super-2 number, since 2×105124000144² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3285124989 + ... + 3285125020.

It is an arithmetic number, because the mean of its divisors is an integer number (20367775031).

Almost surely, 2^105124000144 is an apocalyptic number.

It is an amenable number.

105124000144 is a deficient number, since it is larger than the sum of its proper divisors (98553750166).

105124000144 is an equidigital number, since it uses as much as digits as its factorization.

105124000144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6570250017 (or 6570250011 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 105124000144 its reverse (441000421501), we get a palindrome (546124421645).

The spelling of 105124000144 in words is "one hundred five billion, one hundred twenty-four million, one hundred forty-four", and thus it is an aban number.