106336532127 has 32 divisors (see below), whose sum is σ = 162720230400. Its totient is φ = 60507836928.

The previous prime is 106336532119. The next prime is 106336532161. The reversal of 106336532127 is 721235633601.

It is not a de Polignac number, because 106336532127 - 2³ = 106336532119 is a prime.

It is a super-3 number, since 3×106336532127³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106336532117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5928649 + ... + 5946557.

It is an arithmetic number, because the mean of its divisors is an integer number (5085007200).

Almost surely, 2^106336532127 is an apocalyptic number.

106336532127 is a deficient number, since it is larger than the sum of its proper divisors (56383698273).

106336532127 is a wasteful number, since it uses less digits than its factorization.

106336532127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19095.

The product of its (nonzero) digits is 136080, while the sum is 39.

The spelling of 106336532127 in words is "one hundred six billion, three hundred thirty-six million, five hundred thirty-two thousand, one hundred twenty-seven".