105233265 has 24 divisors (see below), whose sum is σ = 186856488. Its totient is φ = 54754560.

The previous prime is 105233243. The next prime is 105233273. The reversal of 105233265 is 562332501.

It can be written as a sum of positive squares in 4 ways, for example, as 5253264 + 99980001 = 2292^2 + 9999^2 .

It is not a de Polignac number, because 105233265 - 2⁷ = 105233137 is a prime.

It is a super-2 number, since 2×105233265² = 22148080125120450, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26674 + ... + 30363.

It is an arithmetic number, because the mean of its divisors is an integer number (7785687).

Almost surely, 2^105233265 is an apocalyptic number.

105233265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105233265 is a deficient number, since it is larger than the sum of its proper divisors (81623223).

105233265 is a wasteful number, since it uses less digits than its factorization.

105233265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57089 (or 57086 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 105233265 is about 10258.3266179236. The cubic root of 105233265 is about 472.1184961155.

Adding to 105233265 its reverse (562332501), we get a palindrome (667565766).

The spelling of 105233265 in words is "one hundred five million, two hundred thirty-three thousand, two hundred sixty-five".