106662051111201 has 16 divisors (see below), whose sum is σ = 143929957168704. Its totient is φ = 70251094831104.

The previous prime is 106662051111191. The next prime is 106662051111221. The reversal of 106662051111201 is 102111150266601.

It is not a de Polignac number, because 106662051111201 - 2¹⁰ = 106662051110177 is a prime.

It is a super-2 number, since 2×106662051111201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106662051111221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145832325 + ... + 146561901.

It is an arithmetic number, because the mean of its divisors is an integer number (8995622323044).

Almost surely, 2^{106662051111201} is an apocalyptic number.

It is an amenable number.

106662051111201 is a deficient number, since it is larger than the sum of its proper divisors (37267906057503).

106662051111201 is an equidigital number, since it uses as much as digits as its factorization.

106662051111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316800.

The product of its (nonzero) digits is 4320, while the sum is 33.

The spelling of 106662051111201 in words is "one hundred six trillion, six hundred sixty-two billion, fifty-one million, one hundred eleven thousand, two hundred one".