105707172 has 48 divisors (see below), whose sum is σ = 258249600. Its totient is φ = 33589248.

The previous prime is 105707171. The next prime is 105707213. The reversal of 105707172 is 271707501.

It is a super-2 number, since 2×105707172² = 22348012424475168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105707171) 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, 123498 + ... + 124350.

It is an arithmetic number, because the mean of its divisors is an integer number (5380200).

Almost surely, 2^105707172 is an apocalyptic number.

105707172 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 105707172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129124800).

105707172 is an abundant number, since it is smaller than the sum of its proper divisors (152542428).

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

105707172 is a wasteful number, since it uses less digits than its factorization.

105707172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 3430, while the sum is 30.

The square root of 105707172 is about 10281.3993211041. The cubic root of 105707172 is about 472.8261469846.

The spelling of 105707172 in words is "one hundred five million, seven hundred seven thousand, one hundred seventy-two".