105089661 has 12 divisors (see below), whose sum is σ = 153140988. Its totient is φ = 69439104.

The previous prime is 105089639. The next prime is 105089689. The reversal of 105089661 is 166980501.

105089661 is a `hidden beast` number, since 1 + 0 + 508 + 96 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44156025 + 60933636 = 6645^2 + 7806^2 .

It is not a de Polignac number, because 105089661 - 2¹⁰ = 105088637 is a prime.

It is a super-2 number, since 2×105089661² = 22087673698189842, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105089161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50650 + ... + 52683.

It is an arithmetic number, because the mean of its divisors is an integer number (12761749).

Almost surely, 2^105089661 is an apocalyptic number.

It is an amenable number.

105089661 is a deficient number, since it is larger than the sum of its proper divisors (48051327).

105089661 is a wasteful number, since it uses less digits than its factorization.

105089661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103452 (or 103449 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 105089661 is about 10251.3248412095. The cubic root of 105089661 is about 471.9036433704.

The spelling of 105089661 in words is "one hundred five million, eighty-nine thousand, six hundred sixty-one".