105720468480 has 792 divisors, whose sum is σ = 410101482336. Its totient is φ = 25157468160.

The previous prime is 105720468437. The next prime is 105720468509. The reversal of 105720468480 is 84864027501.

105720468480 is a `hidden beast` number, since 10 + 572 + 0 + 4 + 68 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×105720468480² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 373570419 + ... + 373570701.

Almost surely, 2^105720468480 is an apocalyptic number.

105720468480 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 105720468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205050741168).

105720468480 is an abundant number, since it is smaller than the sum of its proper divisors (304381013856).

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

105720468480 is a wasteful number, since it uses less digits than its factorization.

105720468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 105720468480 in words is "one hundred five billion, seven hundred twenty million, four hundred sixty-eight thousand, four hundred eighty".