105328272 has 40 divisors (see below), whose sum is σ = 310970176. Its totient is φ = 30093696.

The previous prime is 105328271. The next prime is 105328283. The reversal of 105328272 is 272823501.

It is a super-2 number, since 2×105328272² = 22188089765011968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105328271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156403 + ... + 157074.

Almost surely, 2^105328272 is an apocalyptic number.

105328272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105328272 is an abundant number, since it is smaller than the sum of its proper divisors (205641904).

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

105328272 is a wasteful number, since it uses less digits than its factorization.

105328272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313495 (or 313489 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 105328272 is about 10262.9562992346. The cubic root of 105328272 is about 472.2605331737.

The spelling of 105328272 in words is "one hundred five million, three hundred twenty-eight thousand, two hundred seventy-two".