106729329267 has 32 divisors (see below), whose sum is σ = 172550027520. Its totient is φ = 64662624000.

The previous prime is 106729329241. The next prime is 106729329277. The reversal of 106729329267 is 762923927601.

106729329267 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 293 + 292 + 67 = 666.

It is not a de Polignac number, because 106729329267 - 2⁷ = 106729329139 is a prime.

It is a super-2 number, since 2×106729329267² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106729329277) 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 31 ways as a sum of consecutive naturals, for example, 844092 + ... + 962262.

It is an arithmetic number, because the mean of its divisors is an integer number (5392188360).

Almost surely, 2^106729329267 is an apocalyptic number.

106729329267 is a deficient number, since it is larger than the sum of its proper divisors (65820698253).

106729329267 is a wasteful number, since it uses less digits than its factorization.

106729329267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121232 (or 121226 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 106729329267 in words is "one hundred six billion, seven hundred twenty-nine million, three hundred twenty-nine thousand, two hundred sixty-seven".