106006010101 has 8 divisors (see below), whose sum is σ = 112282836120. Its totient is φ = 99733759488.

The previous prime is 106006010069. The next prime is 106006010141. The reversal of 106006010101 is 101010600601.

It can be written as a sum of positive squares in 4 ways, for example, as 29318000625 + 76688009476 = 171225^2 + 276926^2 .

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 106006010101 - 2⁵ = 106006010069 is a prime.

It is a super-2 number, since 2×106006010101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106006010141) 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, 1096086 + ... + 1188871.

It is an arithmetic number, because the mean of its divisors is an integer number (14035354515).

Almost surely, 2^106006010101 is an apocalyptic number.

It is an amenable number.

106006010101 is a deficient number, since it is larger than the sum of its proper divisors (6276826019).

106006010101 is a wasteful number, since it uses less digits than its factorization.

106006010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287703.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 106006010101 its reverse (101010600601), we get a palindrome (207016610702).

The spelling of 106006010101 in words is "one hundred six billion, six million, ten thousand, one hundred one".