105309233 has 2 divisors, whose sum is σ = 105309234. Its totient is φ = 105309232.

The previous prime is 105309221. The next prime is 105309299. The reversal of 105309233 is 332903501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66471409 + 38837824 = 8153^2 + 6232^2 .

It is a cyclic number.

It is not a de Polignac number, because 105309233 - 2²⁶ = 38200369 is a prime.

It is a super-2 number, since 2×105309233² = 22180069110096578, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105309833) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52654616 + 52654617.

It is an arithmetic number, because the mean of its divisors is an integer number (52654617).

Almost surely, 2^105309233 is an apocalyptic number.

It is an amenable number.

105309233 is a deficient number, since it is larger than the sum of its proper divisors (1).

105309233 is an equidigital number, since it uses as much as digits as its factorization.

105309233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2430, while the sum is 26.

The square root of 105309233 is about 10262.0286980694. The cubic root of 105309233 is about 472.2320763946.

The spelling of 105309233 in words is "one hundred five million, three hundred nine thousand, two hundred thirty-three".