106217040272 has 20 divisors (see below), whose sum is σ = 235194875136. Its totient is φ = 45521588640.

The previous prime is 106217040271. The next prime is 106217040283. The reversal of 106217040272 is 272040712601.

It is a super-2 number, since 2×106217040272² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106217040271) 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 3 ways as a sum of consecutive naturals, for example, 474183104 + ... + 474183327.

Almost surely, 2^106217040272 is an apocalyptic number.

It is an amenable number.

106217040272 is an abundant number, since it is smaller than the sum of its proper divisors (128977834864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106217040272 is an equidigital number, since it uses as much as digits as its factorization.

106217040272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948366446 (or 948366440 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

Adding to 106217040272 its reverse (272040712601), we get a palindrome (378257752873).

The spelling of 106217040272 in words is "one hundred six billion, two hundred seventeen million, forty thousand, two hundred seventy-two".