105999782079024 has 240 divisors, whose sum is σ = 313977740076000. Its totient is φ = 33290201677824.

The previous prime is 105999782079007. The next prime is 105999782079083. The reversal of 105999782079024 is 420970287999501.

It is a happy number.

105999782079024 is a `hidden beast` number, since 1 + 0 + 599 + 9 + 7 + 8 + 2 + 0 + 7 + 9 + 0 + 24 = 666.

It is a super-2 number, since 2×105999782079024² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1373852032 + ... + 1373929184.

It is an arithmetic number, because the mean of its divisors is an integer number (1308240583650).

Almost surely, 2^{105999782079024} 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 105999782079024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156988870038000).

105999782079024 is an abundant number, since it is smaller than the sum of its proper divisors (207977957996976).

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

105999782079024 is a wasteful number, since it uses less digits than its factorization.

105999782079024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79932 (or 79923 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 72.

The spelling of 105999782079024 in words is "one hundred five trillion, nine hundred ninety-nine billion, seven hundred eighty-two million, seventy-nine thousand, twenty-four".