105312233 has 8 divisors (see below), whose sum is σ = 113558088. Its totient is φ = 97087104.

The previous prime is 105312217. The next prime is 105312283. The reversal of 105312233 is 332213501.

It can be written as a sum of positive squares in 4 ways, for example, as 12902464 + 92409769 = 3592^2 + 9613^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 105312233 - 2⁴ = 105312217 is a prime.

It is a super-2 number, since 2×105312233² = 22181332838892578, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105312283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6341 + ... + 15837.

It is an arithmetic number, because the mean of its divisors is an integer number (14194761).

Almost surely, 2^105312233 is an apocalyptic number.

105312233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105312233 is a deficient number, since it is larger than the sum of its proper divisors (8245855).

105312233 is an equidigital number, since it uses as much as digits as its factorization.

105312233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10363.

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 105312233 is about 10262.1748669568. The cubic root of 105312233 is about 472.2365605940.

Adding to 105312233 its reverse (332213501), we get a palindrome (437525734).

The spelling of 105312233 in words is "one hundred five million, three hundred twelve thousand, two hundred thirty-three".