106512207201 has 20 divisors (see below), whose sum is σ = 168470290692. Its totient is φ = 66831187968.

The previous prime is 106512207169. The next prime is 106512207271. The reversal of 106512207201 is 102702215601.

106512207201 is a `hidden beast` number, since 1 + 0 + 651 + 2 + 2 + 0 + 7 + 2 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66000179025 + 40512028176 = 256905^2 + 201276^2 .

It is not a de Polignac number, because 106512207201 - 2⁵ = 106512207169 is a prime.

It is a super-2 number, since 2×106512207201² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106512207271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38674080 + ... + 38676833.

Almost surely, 2^106512207201 is an apocalyptic number.

It is an amenable number.

106512207201 is a deficient number, since it is larger than the sum of its proper divisors (61958083491).

106512207201 is an equidigital number, since it uses as much as digits as its factorization.

106512207201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77350942 (or 77350933 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 106512207201 in words is "one hundred six billion, five hundred twelve million, two hundred seven thousand, two hundred one".