106005661589 has 8 divisors (see below), whose sum is σ = 109691339520. Its totient is φ = 102322004400.

The previous prime is 106005661583. The next prime is 106005661639. The reversal of 106005661589 is 985166500601.

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 106005661589 - 2¹² = 106005657493 is a prime.

It is a super-2 number, since 2×106005661589² (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 (106005661583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 398057 + ... + 608654.

It is an arithmetic number, because the mean of its divisors is an integer number (13711417440).

Almost surely, 2^106005661589 is an apocalyptic number.

It is an amenable number.

106005661589 is a deficient number, since it is larger than the sum of its proper divisors (3685677931).

106005661589 is a wasteful number, since it uses less digits than its factorization.

106005661589 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010371.

The product of its (nonzero) digits is 388800, while the sum is 47.

The spelling of 106005661589 in words is "one hundred six billion, five million, six hundred sixty-one thousand, five hundred eighty-nine".