101163819744 has 144 divisors (see below), whose sum is σ = 319808571264. Its totient is φ = 30123187200.

The previous prime is 101163819727. The next prime is 101163819749. The reversal of 101163819744 is 447918361101.

101163819744 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 638 + 1 + 9 + 7 + 4 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101163819744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101163819749) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 319747 + ... + 551874.

It is an arithmetic number, because the mean of its divisors is an integer number (2220892856).

Almost surely, 2^101163819744 is an apocalyptic number.

It is an amenable number.

101163819744 is an abundant number, since it is smaller than the sum of its proper divisors (218644751520).

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

101163819744 is a wasteful number, since it uses less digits than its factorization.

101163819744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871681 (or 871670 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 101163819744 in words is "one hundred one billion, one hundred sixty-three million, eight hundred nineteen thousand, seven hundred forty-four".