106506556566601 has 8 divisors (see below), whose sum is σ = 106576155417600. Its totient is φ = 106436975850240.

The previous prime is 106506556566587. The next prime is 106506556566611. The reversal of 106506556566601 is 106665655605601.

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 106506556566601 - 2³⁵ = 106472196828233 is a prime.

It is a super-2 number, since 2×106506556566601² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106506556566611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7226340 + ... + 16285978.

It is an arithmetic number, because the mean of its divisors is an integer number (13322019427200).

Almost surely, 2^{106506556566601} is an apocalyptic number.

It is an amenable number.

106506556566601 is a deficient number, since it is larger than the sum of its proper divisors (69598850999).

106506556566601 is an equidigital number, since it uses as much as digits as its factorization.

106506556566601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9067319.

The product of its (nonzero) digits is 29160000, while the sum is 58.

The spelling of 106506556566601 in words is "one hundred six trillion, five hundred six billion, five hundred fifty-six million, five hundred sixty-six thousand, six hundred one".