106566561065 has 32 divisors (see below), whose sum is σ = 130775006976. Its totient is φ = 83346278400.

The previous prime is 106566561061. The next prime is 106566561071. The reversal of 106566561065 is 560165665601.

It is not a de Polignac number, because 106566561065 - 2² = 106566561061 is a prime.

It is a super-2 number, since 2×106566561065² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106566561061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28823297 + ... + 28826993.

It is an arithmetic number, because the mean of its divisors is an integer number (4086718968).

Almost surely, 2^106566561065 is an apocalyptic number.

It is an amenable number.

106566561065 is a deficient number, since it is larger than the sum of its proper divisors (24208445911).

106566561065 is a wasteful number, since it uses less digits than its factorization.

106566561065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4449.

The product of its (nonzero) digits is 972000, while the sum is 47.

The spelling of 106566561065 in words is "one hundred six billion, five hundred sixty-six million, five hundred sixty-one thousand, sixty-five".