106572236564689 has 9 divisors (see below), whose sum is σ = 123971869453467. Its totient is φ = 91347569400864.

The previous prime is 106572236564657. The next prime is 106572236564711. The reversal of 106572236564689 is 986465632275601.

The square root of 106572236564689 is 10323383.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 84092879827089 + 22479356737600 = 9170217^2 + 4741240^2 .

It is not a de Polignac number, because 106572236564689 - 2⁵ = 106572236564657 is a prime.

It is a super-2 number, since 2×106572236564689² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106572236561689) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 71526297 + ... + 73001065.

It is a 1-persistent number, because it is pandigital, but 2⋅106572236564689 = 213144473129378 is not.

Almost surely, 2^{106572236564689} is an apocalyptic number.

106572236564689 is the 10323383-rd square number.

106572236564689 is the 5161692-nd centered octagonal number.

It is an amenable number.

106572236564689 is a deficient number, since it is larger than the sum of its proper divisors (17399632888778).

106572236564689 is an frugal number, since it uses more digits than its factorization.

106572236564689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949552 (or 1474776 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 70.

The spelling of 106572236564689 in words is "one hundred six trillion, five hundred seventy-two billion, two hundred thirty-six million, five hundred sixty-four thousand, six hundred eighty-nine".