105635131056 has 120 divisors (see below), whose sum is σ = 363854385440. Its totient is φ = 27859811328.

The previous prime is 105635131027. The next prime is 105635131057. The reversal of 105635131056 is 650131536501.

105635131056 is a `hidden beast` number, since 1 + 0 + 5 + 635 + 1 + 3 + 10 + 5 + 6 = 666.

105635131056 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 2×105635131056² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 105635131056.

It is not an unprimeable number, because it can be changed into a prime (105635131057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4017541 + ... + 4043748.

Almost surely, 2^105635131056 is an apocalyptic number.

105635131056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105635131056 is an abundant number, since it is smaller than the sum of its proper divisors (258219254384).

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

105635131056 is a wasteful number, since it uses less digits than its factorization.

105635131056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8061323 (or 8061314 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

Adding to 105635131056 its reverse (650131536501), we get a palindrome (755766667557).

The spelling of 105635131056 in words is "one hundred five billion, six hundred thirty-five million, one hundred thirty-one thousand, fifty-six".