105891561217 has 8 divisors (see below), whose sum is σ = 115083279080. Its totient is φ = 96849302400.

The previous prime is 105891561119. The next prime is 105891561241. The reversal of 105891561217 is 712165198501.

It can be written as a sum of positive squares in 4 ways, for example, as 25013320336 + 80878240881 = 158156^2 + 284391^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105891561217 is a prime.

It is a super-2 number, since 2×105891561217² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105891561317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37363284 + ... + 37366117.

It is an arithmetic number, because the mean of its divisors is an integer number (14385409885).

Almost surely, 2^105891561217 is an apocalyptic number.

It is an amenable number.

105891561217 is a deficient number, since it is larger than the sum of its proper divisors (9191717863).

105891561217 is a wasteful number, since it uses less digits than its factorization.

105891561217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74729523.

The product of its (nonzero) digits is 151200, while the sum is 46.

The spelling of 105891561217 in words is "one hundred five billion, eight hundred ninety-one million, five hundred sixty-one thousand, two hundred seventeen".