101385803520 has 288 divisors, whose sum is σ = 360201038400. Its totient is φ = 27004502016.

The previous prime is 101385803507. The next prime is 101385803527. The reversal of 101385803520 is 25308583101.

101385803520 is a `hidden beast` number, since 10 + 1 + 38 + 580 + 35 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101385803527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53670736 + ... + 53672624.

It is an arithmetic number, because the mean of its divisors is an integer number (1250698050).

Almost surely, 2^101385803520 is an apocalyptic number.

101385803520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101385803520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180100519200).

101385803520 is an abundant number, since it is smaller than the sum of its proper divisors (258815234880).

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

101385803520 is a wasteful number, since it uses less digits than its factorization.

101385803520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3472 (or 3452 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 101385803520 in words is "one hundred one billion, three hundred eighty-five million, eight hundred three thousand, five hundred twenty".