105268272 has 40 divisors (see below), whose sum is σ = 276559680. Its totient is φ = 34493760.

The previous prime is 105268271. The next prime is 105268277. The reversal of 105268272 is 272862501.

It is a super-2 number, since 2×105268272² = 22162818179731968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105268271) 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, 15754 + ... + 21417.

It is an arithmetic number, because the mean of its divisors is an integer number (6913992).

Almost surely, 2^105268272 is an apocalyptic number.

105268272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105268272 is an abundant number, since it is smaller than the sum of its proper divisors (171291408).

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

105268272 is a wasteful number, since it uses less digits than its factorization.

105268272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37241 (or 37235 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 105268272 is about 10260.0327484857. The cubic root of 105268272 is about 472.1708421104.

The spelling of 105268272 in words is "one hundred five million, two hundred sixty-eight thousand, two hundred seventy-two".