106000566001 has 8 divisors (see below), whose sum is σ = 115662456000. Its totient is φ = 96342921840.

The previous prime is 106000565969. The next prime is 106000566053. The reversal of 106000566001 is 100665000601.

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

It is not a de Polignac number, because 106000566001 - 2⁵ = 106000565969 is a prime.

It is a super-2 number, since 2×106000566001² (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 (106000564001) 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, 1009141 + ... + 1109218.

It is an arithmetic number, because the mean of its divisors is an integer number (14457807000).

Almost surely, 2^106000566001 is an apocalyptic number.

106000566001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106000566001 is a deficient number, since it is larger than the sum of its proper divisors (9661889999).

106000566001 is a wasteful number, since it uses less digits than its factorization.

106000566001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122919.

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 106000566001 its reverse (100665000601), we get a palindrome (206665566602).

The spelling of 106000566001 in words is "one hundred six billion, five hundred sixty-six thousand, one".