101075317344 has 72 divisors (see below), whose sum is σ = 298078620840. Its totient is φ = 33691769856.

The previous prime is 101075317339. The next prime is 101075317361. The reversal of 101075317344 is 443713570101.

It is a happy number.

101075317344 is a `hidden beast` number, since 1 + 0 + 10 + 7 + 531 + 73 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 101075317299 and 101075317308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6491409 + ... + 6506960.

It is an arithmetic number, because the mean of its divisors is an integer number (4139980845).

Almost surely, 2^101075317344 is an apocalyptic number.

It is an amenable number.

101075317344 is an abundant number, since it is smaller than the sum of its proper divisors (197003303496).

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

101075317344 is an equidigital number, since it uses as much as digits as its factorization.

101075317344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12998394 (or 12998374 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Adding to 101075317344 its reverse (443713570101), we get a palindrome (544788887445).

The spelling of 101075317344 in words is "one hundred one billion, seventy-five million, three hundred seventeen thousand, three hundred forty-four".