106516266201 has 6 divisors (see below), whose sum is σ = 153856828970. Its totient is φ = 71010844128.

The previous prime is 106516266191. The next prime is 106516266209. The reversal of 106516266201 is 102662615601.

106516266201 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 1 + 6 + 26 + 620 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 104523536601 + 1992729600 = 323301^2 + 44640^2 .

It is not a de Polignac number, because 106516266201 - 2⁵ = 106516266169 is a prime.

It is a super-2 number, since 2×106516266201² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106516266209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5917570336 + ... + 5917570353.

Almost surely, 2^106516266201 is an apocalyptic number.

It is an amenable number.

106516266201 is a deficient number, since it is larger than the sum of its proper divisors (47340562769).

106516266201 is a wasteful number, since it uses less digits than its factorization.

106516266201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11835140695 (or 11835140692 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 106516266201 in words is "one hundred six billion, five hundred sixteen million, two hundred sixty-six thousand, two hundred one".