105661016601 has 8 divisors (see below), whose sum is σ = 161007263424. Its totient is φ = 60377723760.

The previous prime is 105661016597. The next prime is 105661016653. The reversal of 105661016601 is 106610166501.

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

It is not a de Polignac number, because 105661016601 - 2² = 105661016597 is a prime.

It is a super-2 number, since 2×105661016601² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105661016101) 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, 2515738470 + ... + 2515738511.

It is an arithmetic number, because the mean of its divisors is an integer number (20125907928).

Almost surely, 2^105661016601 is an apocalyptic number.

It is an amenable number.

105661016601 is a deficient number, since it is larger than the sum of its proper divisors (55346246823).

105661016601 is an equidigital number, since it uses as much as digits as its factorization.

105661016601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5031476991.

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 105661016601 in words is "one hundred five billion, six hundred sixty-one million, sixteen thousand, six hundred one".