100720733568 has 192 divisors, whose sum is σ = 331090041600. Its totient is φ = 26563590144.

The previous prime is 100720733549. The next prime is 100720733671. The reversal of 100720733568 is 865337027001.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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, 343413 + ... + 565131.

It is an arithmetic number, because the mean of its divisors is an integer number (1724427300).

Almost surely, 2^100720733568 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 100720733568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165545020800).

100720733568 is an abundant number, since it is smaller than the sum of its proper divisors (230369308032).

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

100720733568 is a wasteful number, since it uses less digits than its factorization.

100720733568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221769 (or 221744 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 100720733568 in words is "one hundred billion, seven hundred twenty million, seven hundred thirty-three thousand, five hundred sixty-eight".