105079782720 has 448 divisors, whose sum is σ = 384955084800. Its totient is φ = 24017264640.

The previous prime is 105079782697. The next prime is 105079782727. The reversal of 105079782720 is 27287970501.

It is a happy number.

It is a super-2 number, since 2×105079782720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 105079782720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105079782727) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 45945417 + ... + 45947703.

Almost surely, 2^105079782720 is an apocalyptic number.

105079782720 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 105079782720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192477542400).

105079782720 is an abundant number, since it is smaller than the sum of its proper divisors (279875302080).

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

105079782720 is a wasteful number, since it uses less digits than its factorization.

105079782720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 48.

The spelling of 105079782720 in words is "one hundred five billion, seventy-nine million, seven hundred eighty-two thousand, seven hundred twenty".