105006661 has 8 divisors (see below), whose sum is σ = 109771200. Its totient is φ = 100258752.

The previous prime is 105006653. The next prime is 105006679. The reversal of 105006661 is 166600501.

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 105006661 - 2³ = 105006653 is a prime.

It is a super-2 number, since 2×105006661² = 22052797708737842, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105006611) 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, 9790 + ... + 17488.

It is an arithmetic number, because the mean of its divisors is an integer number (13721400).

Almost surely, 2^105006661 is an apocalyptic number.

It is an amenable number.

105006661 is a deficient number, since it is larger than the sum of its proper divisors (4764539).

105006661 is an equidigital number, since it uses as much as digits as its factorization.

105006661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8315.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 105006661 is about 10247.2757843243. The cubic root of 105006661 is about 471.7793738714.

It can be divided in two parts, 10500 and 6661, that added together give a square (17161 = 131²).

The spelling of 105006661 in words is "one hundred five million, six thousand, six hundred sixty-one".