105506272 has 12 divisors (see below), whose sum is σ = 207715536. Its totient is φ = 52753120.

The previous prime is 105506251. The next prime is 105506279. The reversal of 105506272 is 272605501.

It is a super-2 number, since 2×105506272² = 22263146862675968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105506272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105506279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1648504 + ... + 1648567.

It is an arithmetic number, because the mean of its divisors is an integer number (17309628).

Almost surely, 2^105506272 is an apocalyptic number.

It is an amenable number.

105506272 is a deficient number, since it is larger than the sum of its proper divisors (102209264).

105506272 is an equidigital number, since it uses as much as digits as its factorization.

105506272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3297081 (or 3297073 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 105506272 is about 10271.6246037324. The cubic root of 105506272 is about 472.5264164099.

The spelling of 105506272 in words is "one hundred five million, five hundred six thousand, two hundred seventy-two".