106665566601 has 8 divisors (see below), whose sum is σ = 155149915104. Its totient is φ = 64645797920.

The previous prime is 106665566597. The next prime is 106665566617.

106665566601 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106665566601 - 2² = 106665566597 is a prime.

It is a super-2 number, since 2×106665566601² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106665566621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1616144916 + ... + 1616144981.

It is an arithmetic number, because the mean of its divisors is an integer number (19393739388).

Almost surely, 2^106665566601 is an apocalyptic number.

106665566601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106665566601 is a deficient number, since it is larger than the sum of its proper divisors (48484348503).

106665566601 is a wasteful number, since it uses less digits than its factorization.

106665566601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3232289911.

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 106665566601 in words is "one hundred six billion, six hundred sixty-five million, five hundred sixty-six thousand, six hundred one".