105611661 has 8 divisors (see below), whose sum is σ = 156461760. Its totient is φ = 70407756.

The previous prime is 105611651. The next prime is 105611663. The reversal of 105611661 is 166116501.

It is not a de Polignac number, because 105611661 - 2⁵ = 105611629 is a prime.

It is a super-2 number, since 2×105611661² = 22307645878357842, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3911543 = 105611661 / (1 + 0 + 5 + 6 + 1 + 1 + 6 + 6 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105611663) 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, 1955745 + ... + 1955798.

It is an arithmetic number, because the mean of its divisors is an integer number (19557720).

Almost surely, 2^105611661 is an apocalyptic number.

It is an amenable number.

105611661 is a deficient number, since it is larger than the sum of its proper divisors (50850099).

105611661 is an equidigital number, since it uses as much as digits as its factorization.

105611661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3911552 (or 3911546 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 105611661 is about 10276.7534270313. The cubic root of 105611661 is about 472.6836977844.

The spelling of 105611661 in words is "one hundred five million, six hundred eleven thousand, six hundred sixty-one".