105347233 has 2 divisors, whose sum is σ = 105347234. Its totient is φ = 105347232.

The previous prime is 105347213. The next prime is 105347239. The reversal of 105347233 is 332743501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74511424 + 30835809 = 8632^2 + 5553^2 .

It is an emirp because it is prime and its reverse (332743501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105347233 - 2²⁵ = 71792801 is a prime.

It is a super-2 number, since 2×105347233² = 22196079001512578, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105347239) 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, 52673616 + 52673617.

It is an arithmetic number, because the mean of its divisors is an integer number (52673617).

Almost surely, 2^105347233 is an apocalyptic number.

It is an amenable number.

105347233 is a deficient number, since it is larger than the sum of its proper divisors (1).

105347233 is an equidigital number, since it uses as much as digits as its factorization.

105347233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 28.

The square root of 105347233 is about 10263.8800168357. The cubic root of 105347233 is about 472.2888699616.

The spelling of 105347233 in words is "one hundred five million, three hundred forty-seven thousand, two hundred thirty-three".