105075979008 has 576 divisors, whose sum is σ = 379412447232. Its totient is φ = 24929648640.

The previous prime is 105075979003. The next prime is 105075979027. The reversal of 105075979008 is 800979570501.

It is a super-2 number, since 2×105075979008² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105075979003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79182441 + ... + 79183767.

Almost surely, 2^105075979008 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 105075979008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189706223616).

105075979008 is an abundant number, since it is smaller than the sum of its proper divisors (274336468224).

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

105075979008 is a wasteful number, since it uses less digits than its factorization.

105075979008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 51.

The spelling of 105075979008 in words is "one hundred five billion, seventy-five million, nine hundred seventy-nine thousand, eight".