101365719424 has 64 divisors (see below), whose sum is σ = 204809472000. Its totient is φ = 49965179392.

The previous prime is 101365719421. The next prime is 101365719451. The reversal of 101365719424 is 424917563101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101365719421) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5078937 + ... + 5098855.

It is an arithmetic number, because the mean of its divisors is an integer number (3200148000).

Almost surely, 2^101365719424 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 101365719424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102404736000).

101365719424 is an abundant number, since it is smaller than the sum of its proper divisors (103443752576).

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

101365719424 is an equidigital number, since it uses as much as digits as its factorization.

101365719424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20495 (or 20483 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 101365719424 in words is "one hundred one billion, three hundred sixty-five million, seven hundred nineteen thousand, four hundred twenty-four".