105272193 has 8 divisors (see below), whose sum is σ = 151160128. Its totient is φ = 64782864.

The previous prime is 105272183. The next prime is 105272207. The reversal of 105272193 is 391272501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105272193 - 2⁶ = 105272129 is a prime.

It is a super-2 number, since 2×105272193² = 22164469238058498, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105272193.

It is not an unprimeable number, because it can be changed into a prime (105272183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1349605 + ... + 1349682.

It is an arithmetic number, because the mean of its divisors is an integer number (18895016).

Almost surely, 2^105272193 is an apocalyptic number.

105272193 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105272193 is a deficient number, since it is larger than the sum of its proper divisors (45887935).

105272193 is a wasteful number, since it uses less digits than its factorization.

105272193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699303.

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 105272193 is about 10260.2238279679. The cubic root of 105272193 is about 472.1767044621.

It can be divided in two parts, 10527 and 2193, that added together give a triangular number (12720 = T₁₅₉).

The spelling of 105272193 in words is "one hundred five million, two hundred seventy-two thousand, one hundred ninety-three".