105659636992 has 144 divisors (see below), whose sum is σ = 259863956352. Its totient is φ = 41753272320.

The previous prime is 105659636959. The next prime is 105659637029. The reversal of 105659636992 is 299636956501.

105659636992 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 2×105659636992² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105659636992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27650442 + ... + 27654262.

It is an arithmetic number, because the mean of its divisors is an integer number (1804610808).

Almost surely, 2^105659636992 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 105659636992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129931978176).

105659636992 is an abundant number, since it is smaller than the sum of its proper divisors (154204319360).

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

105659636992 is a wasteful number, since it uses less digits than its factorization.

105659636992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5044 (or 5030 counting only the distinct ones).

The product of its (nonzero) digits is 23619600, while the sum is 61.

The spelling of 105659636992 in words is "one hundred five billion, six hundred fifty-nine million, six hundred thirty-six thousand, nine hundred ninety-two".