105005172 has 48 divisors (see below), whose sum is σ = 266817600. Its totient is φ = 32014080.

The previous prime is 105005167. The next prime is 105005177. The reversal of 105005172 is 271500501.

It is an interprime number because it is at equal distance from previous prime (105005167) and next prime (105005177).

It is a super-2 number, since 2×105005172² = 22052172293499168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105005177) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1329 + ... + 14552.

It is an arithmetic number, because the mean of its divisors is an integer number (5558700).

Almost surely, 2^105005172 is an apocalyptic number.

105005172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105005172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133408800).

105005172 is an abundant number, since it is smaller than the sum of its proper divisors (161812428).

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

105005172 is a wasteful number, since it uses less digits than its factorization.

105005172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15936 (or 15934 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 105005172 is about 10247.2031306108. The cubic root of 105005172 is about 471.7771439087. Note that the first 3 decimals are identical.

Adding to 105005172 its reverse (271500501), we get a palindrome (376505673).

The spelling of 105005172 in words is "one hundred five million, five thousand, one hundred seventy-two".