105831855738461 has 32 divisors (see below), whose sum is σ = 121762429632000. Its totient is φ = 91381157683200.

The previous prime is 105831855738449. The next prime is 105831855738467. The reversal of 105831855738461 is 164837558138501.

It is a cyclic number.

It is not a de Polignac number, because 105831855738461 - 2¹⁰ = 105831855737437 is a prime.

It is a super-2 number, since 2×105831855738461² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105831855738467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29193236 + ... + 32617613.

It is an arithmetic number, because the mean of its divisors is an integer number (3805075926000).

Almost surely, 2^{105831855738461} is an apocalyptic number.

It is an amenable number.

105831855738461 is a deficient number, since it is larger than the sum of its proper divisors (15930573893539).

105831855738461 is a wasteful number, since it uses less digits than its factorization.

105831855738461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61811069.

The product of its (nonzero) digits is 96768000, while the sum is 65.

The spelling of 105831855738461 in words is "one hundred five trillion, eight hundred thirty-one billion, eight hundred fifty-five million, seven hundred thirty-eight thousand, four hundred sixty-one".