105122172 has 24 divisors (see below), whose sum is σ = 248043600. Its totient is φ = 34646656.

The previous prime is 105122159. The next prime is 105122177. The reversal of 105122172 is 271221501.

It is a super-3 number, since 3×105122172³ (a number of 25 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 (105122177) 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 7 ways as a sum of consecutive naturals, for example, 48147 + ... + 50282.

It is an arithmetic number, because the mean of its divisors is an integer number (10335150).

Almost surely, 2^105122172 is an apocalyptic number.

105122172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105122172 is an abundant number, since it is smaller than the sum of its proper divisors (142921428).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105122172 is a wasteful number, since it uses less digits than its factorization.

105122172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98525 (or 98523 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 105122172 is about 10252.9104160721. The cubic root of 105122172 is about 471.9523017490.

Adding to 105122172 its reverse (271221501), we get a palindrome (376343673).

The spelling of 105122172 in words is "one hundred five million, one hundred twenty-two thousand, one hundred seventy-two".