10005100144144 has 160 divisors (see below), whose sum is σ = 23199147159552. Its totient is φ = 4090461312000.

The previous prime is 10005100144079. The next prime is 10005100144157. The reversal of 10005100144144 is 44144100150001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235442739 + ... + 235485229.

Almost surely, 2^{10005100144144} is an apocalyptic number.

10005100144144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10005100144144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11599573579776).

10005100144144 is an abundant number, since it is smaller than the sum of its proper divisors (13194047015408).

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

10005100144144 is a wasteful number, since it uses less digits than its factorization.

10005100144144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43685 (or 43679 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 10005100144144 its reverse (44144100150001), we get a palindrome (54149200294145).

The spelling of 10005100144144 in words is "ten trillion, five billion, one hundred million, one hundred forty-four thousand, one hundred forty-four".