106632696872267 has 2 divisors, whose sum is σ = 106632696872268. Its totient is φ = 106632696872266.

The previous prime is 106632696872237. The next prime is 106632696872279. The reversal of 106632696872267 is 762278696236601.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 106632696872267 - 2²⁰ = 106632695823691 is a prime.

It is a super-2 number, since 2×106632696872267² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106632696872267.

It is not a weakly prime, because it can be changed into another prime (106632696872237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53316348436133 + 53316348436134.

It is an arithmetic number, because the mean of its divisors is an integer number (53316348436134).

Almost surely, 2^{106632696872267} is an apocalyptic number.

106632696872267 is a deficient number, since it is larger than the sum of its proper divisors (1).

106632696872267 is an equidigital number, since it uses as much as digits as its factorization.

106632696872267 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 658409472, while the sum is 71.

The spelling of 106632696872267 in words is "one hundred six trillion, six hundred thirty-two billion, six hundred ninety-six million, eight hundred seventy-two thousand, two hundred sixty-seven".