105144331145004 has 60 divisors (see below), whose sum is σ = 277032366333184. Its totient is φ = 34772140994976.

The previous prime is 105144331144921. The next prime is 105144331145111. The reversal of 105144331145004 is 400541133441501.

105144331145004 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 4 + 4 + 33 + 114 + 500 + 4 = 666.

It is a super-2 number, since 2×105144331145004² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 105144331145004.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1277594839 + ... + 1277677134.

Almost surely, 2^{105144331145004} is an apocalyptic number.

It is an amenable number.

105144331145004 is an abundant number, since it is smaller than the sum of its proper divisors (171888035188180).

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

105144331145004 is a wasteful number, since it uses less digits than its factorization.

105144331145004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555272116 (or 2555272105 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 105144331145004 its reverse (400541133441501), we get a palindrome (505685464586505).

The spelling of 105144331145004 in words is "one hundred five trillion, one hundred forty-four billion, three hundred thirty-one million, one hundred forty-five thousand, four".