105540036006 has 32 divisors (see below), whose sum is σ = 219212661888. Its totient is φ = 33849002880.

The previous prime is 105540036001. The next prime is 105540036029. The reversal of 105540036006 is 600630045501.

105540036006 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 2×105540036006² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105540036001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3035475 + ... + 3070046.

It is an arithmetic number, because the mean of its divisors is an integer number (6850395684).

Almost surely, 2^105540036006 is an apocalyptic number.

105540036006 is an abundant number, since it is smaller than the sum of its proper divisors (113672625882).

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

105540036006 is a wasteful number, since it uses less digits than its factorization.

105540036006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6105636.

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 105540036006 in words is "one hundred five billion, five hundred forty million, thirty-six thousand, six".