105541634359 has 32 divisors (see below), whose sum is σ = 130108352000. Its totient is φ = 83588609664.

The previous prime is 105541634279. The next prime is 105541634369. The reversal of 105541634359 is 953436145501.

It is not a de Polignac number, because 105541634359 - 2¹¹ = 105541632311 is a prime.

It is a super-2 number, since 2×105541634359² (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 (105541634369) 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 31 ways as a sum of consecutive naturals, for example, 4041757 + ... + 4067785.

It is an arithmetic number, because the mean of its divisors is an integer number (4065886000).

Almost surely, 2^105541634359 is an apocalyptic number.

105541634359 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

105541634359 is a deficient number, since it is larger than the sum of its proper divisors (24566717641).

105541634359 is a wasteful number, since it uses less digits than its factorization.

105541634359 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26807.

The product of its (nonzero) digits is 972000, while the sum is 46.

The spelling of 105541634359 in words is "one hundred five billion, five hundred forty-one million, six hundred thirty-four thousand, three hundred fifty-nine".