105271661 has 8 divisors (see below), whose sum is σ = 114916800. Its totient is φ = 95639040.

The previous prime is 105271637. The next prime is 105271669. The reversal of 105271661 is 166172501.

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 105271661 - 2¹⁴ = 105255277 is a prime.

It is a super-3 number, since 3×105271661³ (a number of 25 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (105271669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27800 + ... + 31358.

It is an arithmetic number, because the mean of its divisors is an integer number (14364600).

Almost surely, 2^105271661 is an apocalyptic number.

105271661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105271661 is the 4589-th centered decagonal number.

It is an amenable number.

105271661 is a deficient number, since it is larger than the sum of its proper divisors (9645139).

105271661 is a wasteful number, since it uses less digits than its factorization.

105271661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6259.

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 105271661 is about 10260.1979025748. The cubic root of 105271661 is about 472.1759090687.

The spelling of 105271661 in words is "one hundred five million, two hundred seventy-one thousand, six hundred sixty-one".