172646106117 has 64 divisors (see below), whose sum is σ = 252401909760. Its totient is φ = 104538470400.

The previous prime is 172646106107. The next prime is 172646106163. The reversal of 172646106117 is 711601646271.

It is a happy number.

It is not a de Polignac number, because 172646106117 - 2¹⁵ = 172646073349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172646106107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103815228 + ... + 103816890.

It is an arithmetic number, because the mean of its divisors is an integer number (3943779840).

Almost surely, 2^172646106117 is an apocalyptic number.

172646106117 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

172646106117 is a deficient number, since it is larger than the sum of its proper divisors (79755803643).

172646106117 is a wasteful number, since it uses less digits than its factorization.

172646106117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234.

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 172646106117 in words is "one hundred seventy-two billion, six hundred forty-six million, one hundred six thousand, one hundred seventeen".