105404502144 has 256 divisors, whose sum is σ = 315305827200. Its totient is φ = 31001149440.

The previous prime is 105404502121. The next prime is 105404502157. The reversal of 105404502144 is 441205404501.

It is a super-2 number, since 2×105404502144² (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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12026724 + ... + 12035484.

Almost surely, 2^105404502144 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 105404502144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157652913600).

105404502144 is an abundant number, since it is smaller than the sum of its proper divisors (209901325056).

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

105404502144 is a wasteful number, since it uses less digits than its factorization.

105404502144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8911 (or 8899 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 105404502144 its reverse (441205404501), we get a palindrome (546609906645).

The spelling of 105404502144 in words is "one hundred five billion, four hundred four million, five hundred two thousand, one hundred forty-four".