105720520096800 has 576 divisors, whose sum is σ = 443500254167040. Its totient is φ = 23804021007360.

The previous prime is 105720520096757. The next prime is 105720520096801. The reversal of 105720520096800 is 8690025027501.

105720520096800 is a `hidden beast` number, since 10 + 5 + 7 + 20 + 520 + 0 + 96 + 8 + 0 + 0 = 666.

105720520096800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105720520096800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (105720520096801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4912417 + ... + 15348383.

It is an arithmetic number, because the mean of its divisors is an integer number (769965719040).

Almost surely, 2^{105720520096800} is an apocalyptic number.

105720520096800 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 105720520096800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221750127083520).

105720520096800 is an abundant number, since it is smaller than the sum of its proper divisors (337779734070240).

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

105720520096800 is a wasteful number, since it uses less digits than its factorization.

105720520096800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10436070 (or 10436051 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 105720520096800 in words is "one hundred five trillion, seven hundred twenty billion, five hundred twenty million, ninety-six thousand, eight hundred".