105065826233 has 2 divisors, whose sum is σ = 105065826234. Its totient is φ = 105065826232.

The previous prime is 105065826227. The next prime is 105065826253. The reversal of 105065826233 is 332628560501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77836536064 + 27229290169 = 278992^2 + 165013^2 .

It is a cyclic number.

It is not a de Polignac number, because 105065826233 - 2²² = 105061631929 is a prime.

It is a super-2 number, since 2×105065826233² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105065826253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52532913116 + 52532913117.

It is an arithmetic number, because the mean of its divisors is an integer number (52532913117).

Almost surely, 2^105065826233 is an apocalyptic number.

It is an amenable number.

105065826233 is a deficient number, since it is larger than the sum of its proper divisors (1).

105065826233 is an equidigital number, since it uses as much as digits as its factorization.

105065826233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 105065826233 in words is "one hundred five billion, sixty-five million, eight hundred twenty-six thousand, two hundred thirty-three".