101643853344 has 96 divisors (see below), whose sum is σ = 293741743680. Its totient is φ = 30518553600.

The previous prime is 101643853343. The next prime is 101643853361. The reversal of 101643853344 is 443358346101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 101643853296 and 101643853305.

It is not an unprimeable number, because it can be changed into a prime (101643853343) 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 15 ways as a sum of consecutive naturals, for example, 326427 + ... + 556634.

It is an arithmetic number, because the mean of its divisors is an integer number (3059809830).

Almost surely, 2^101643853344 is an apocalyptic number.

It is an amenable number.

101643853344 is an abundant number, since it is smaller than the sum of its proper divisors (192097890336).

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

101643853344 is a wasteful number, since it uses less digits than its factorization.

101643853344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883194 (or 883186 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 101643853344 in words is "one hundred one billion, six hundred forty-three million, eight hundred fifty-three thousand, three hundred forty-four".