10050966144 has 144 divisors (see below), whose sum is σ = 30236718330. Its totient is φ = 3204461568.

The previous prime is 10050966143. The next prime is 10050966173. The reversal of 10050966144 is 44166905001.

10050966144 is a `hidden beast` number, since 1 + 0 + 0 + 509 + 6 + 6 + 144 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9982407744 + 68558400 = 99912^2 + 8280^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 10050966099 and 10050966108.

It is not an unprimeable number, because it can be changed into a prime (10050966143) 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 17 ways as a sum of consecutive naturals, for example, 601162 + ... + 617654.

Almost surely, 2^10050966144 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 10050966144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15118359165).

10050966144 is an abundant number, since it is smaller than the sum of its proper divisors (20185752186).

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

10050966144 is a wasteful number, since it uses less digits than its factorization.

10050966144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16559 (or 16521 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10050966144 in words is "ten billion, fifty million, nine hundred sixty-six thousand, one hundred forty-four".