172113683105 has 96 divisors (see below), whose sum is σ = 266423510304. Its totient is φ = 105721749504.

The previous prime is 172113683101. The next prime is 172113683111. The reversal of 172113683105 is 501386311271.

It can be written as a sum of positive squares in 16 ways, for example, as 16252170256 + 155861512849 = 127484^2 + 394793^2 .

It is not a de Polignac number, because 172113683105 - 2² = 172113683101 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (172113683101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51025199 + ... + 51028571.

It is an arithmetic number, because the mean of its divisors is an integer number (2775244899).

Almost surely, 2^172113683105 is an apocalyptic number.

It is an amenable number.

172113683105 is a deficient number, since it is larger than the sum of its proper divisors (94309827199).

172113683105 is a wasteful number, since it uses less digits than its factorization.

172113683105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3875 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

Adding to 172113683105 its reverse (501386311271), we get a palindrome (673499994376).

The spelling of 172113683105 in words is "one hundred seventy-two billion, one hundred thirteen million, six hundred eighty-three thousand, one hundred five".