106632696872272 has 40 divisors (see below), whose sum is σ = 209882855298240. Its totient is φ = 52472047004160.

The previous prime is 106632696872267. The next prime is 106632696872279. The reversal of 106632696872272 is 272278696236601.

It is a super-2 number, since 2×106632696872272² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106632696872198 and 106632696872207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106632696872279) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82723497 + ... + 84002632.

It is an arithmetic number, because the mean of its divisors is an integer number (5247071382456).

Almost surely, 2^{106632696872272} is an apocalyptic number.

It is an amenable number.

106632696872272 is a deficient number, since it is larger than the sum of its proper divisors (103250158425968).

106632696872272 is a wasteful number, since it uses less digits than its factorization.

106632696872272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166726771 (or 166726765 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 67.

The spelling of 106632696872272 in words is "one hundred six trillion, six hundred thirty-two billion, six hundred ninety-six million, eight hundred seventy-two thousand, two hundred seventy-two".