105516211661 has 8 divisors (see below), whose sum is σ = 122241873984. Its totient is φ = 89203528800.

The previous prime is 105516211657. The next prime is 105516211673. The reversal of 105516211661 is 166112615501.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 105516211661 - 2² = 105516211657 is a prime.

It is a super-3 number, since 3×105516211661³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (105516231661) 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 7 ways as a sum of consecutive naturals, for example, 103244315 + ... + 103245336.

It is an arithmetic number, because the mean of its divisors is an integer number (15280234248).

Almost surely, 2^105516211661 is an apocalyptic number.

It is an amenable number.

105516211661 is a deficient number, since it is larger than the sum of its proper divisors (16725662323).

105516211661 is an equidigital number, since it uses as much as digits as its factorization.

105516211661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206489731.

The product of its (nonzero) digits is 10800, while the sum is 35.

The spelling of 105516211661 in words is "one hundred five billion, five hundred sixteen million, two hundred eleven thousand, six hundred sixty-one".