105536666040 has 128 divisors (see below), whose sum is σ = 346053980160. Its totient is φ = 25590495744.

The previous prime is 105536666033. The next prime is 105536666041. The reversal of 105536666040 is 40666635501.

It is a super-2 number, since 2×105536666040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105536665983 and 105536666001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105536666041) 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 31 ways as a sum of consecutive naturals, for example, 400344 + ... + 609383.

It is an arithmetic number, because the mean of its divisors is an integer number (2703546720).

Almost surely, 2^105536666040 is an apocalyptic number.

105536666040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105536666040 is an abundant number, since it is smaller than the sum of its proper divisors (240517314120).

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

105536666040 is a wasteful number, since it uses less digits than its factorization.

105536666040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009821 (or 1009817 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 105536666040 in words is "one hundred five billion, five hundred thirty-six million, six hundred sixty-six thousand, forty".