105365536043 has 16 divisors (see below), whose sum is σ = 108198623232. Its totient is φ = 102545352000.

The previous prime is 105365535991. The next prime is 105365536079. The reversal of 105365536043 is 340635563501.

It is a cyclic number.

It is not a de Polignac number, because 105365536043 - 2⁸ = 105365535787 is a prime.

It is a super-2 number, since 2×105365536043² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105365536093) 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, 40664678 + ... + 40667268.

It is an arithmetic number, because the mean of its divisors is an integer number (6762413952).

Almost surely, 2^105365536043 is an apocalyptic number.

105365536043 is a deficient number, since it is larger than the sum of its proper divisors (2833087189).

105365536043 is a wasteful number, since it uses less digits than its factorization.

105365536043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4666.

The product of its (nonzero) digits is 486000, while the sum is 41.

The spelling of 105365536043 in words is "one hundred five billion, three hundred sixty-five million, five hundred thirty-six thousand, forty-three".