106005506661 has 6 divisors (see below), whose sum is σ = 153119065190. Its totient is φ = 70670337768.

The previous prime is 106005506653. The next prime is 106005506687. The reversal of 106005506661 is 166605500601.

It can be written as a sum of positive squares in only one way, i.e., 105735528900 + 269977761 = 325170^2 + 16431^2 .

It is not a de Polignac number, because 106005506661 - 2³ = 106005506653 is a prime.

It is a super-2 number, since 2×106005506661² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106005506261) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5889194806 + ... + 5889194823.

Almost surely, 2^106005506661 is an apocalyptic number.

It is an amenable number.

106005506661 is a deficient number, since it is larger than the sum of its proper divisors (47113558529).

106005506661 is a wasteful number, since it uses less digits than its factorization.

106005506661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11778389635 (or 11778389632 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 106005506661 in words is "one hundred six billion, five million, five hundred six thousand, six hundred sixty-one".