105360416541 has 24 divisors (see below), whose sum is σ = 154552937760. Its totient is φ = 69156204000.

The previous prime is 105360416531. The next prime is 105360416543. The reversal of 105360416541 is 145614063501.

105360416541 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 604 + 1 + 6 + 5 + 41 = 666.

It is not a de Polignac number, because 105360416541 - 2¹⁴ = 105360400157 is a prime.

It is a super-4 number, since 4×105360416541⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105360416496 and 105360416505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105360416543) 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, 161055 + ... + 486476.

It is an arithmetic number, because the mean of its divisors is an integer number (6439705740).

Almost surely, 2^105360416541 is an apocalyptic number.

It is an amenable number.

105360416541 is a deficient number, since it is larger than the sum of its proper divisors (49192521219).

105360416541 is a wasteful number, since it uses less digits than its factorization.

105360416541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647817 (or 647814 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 105360416541 in words is "one hundred five billion, three hundred sixty million, four hundred sixteen thousand, five hundred forty-one".