105217272 has 64 divisors (see below), whose sum is σ = 304992000. Its totient is φ = 33545952.

The previous prime is 105217223. The next prime is 105217279. The reversal of 105217272 is 272712501.

105217272 is a `hidden beast` number, since 1 + 0 + 521 + 72 + 72 = 666.

It is a super-2 number, since 2×105217272² = 22141348654243968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105217279) 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, 5622 + ... + 15557.

It is an arithmetic number, because the mean of its divisors is an integer number (4765500).

Almost surely, 2^105217272 is an apocalyptic number.

105217272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105217272 is an abundant number, since it is smaller than the sum of its proper divisors (199774728).

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

105217272 is a wasteful number, since it uses less digits than its factorization.

105217272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21217 (or 21207 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 105217272 is about 10257.5470752027. The cubic root of 105217272 is about 472.0945779066.

Adding to 105217272 its reverse (272712501), we get a palindrome (377929773).

The spelling of 105217272 in words is "one hundred five million, two hundred seventeen thousand, two hundred seventy-two".