105681833 has 2 divisors, whose sum is σ = 105681834. Its totient is φ = 105681832.

The previous prime is 105681827. The next prime is 105681869. The reversal of 105681833 is 338186501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96275344 + 9406489 = 9812^2 + 3067^2 .

It is a cyclic number.

It is not a de Polignac number, because 105681833 - 2⁶ = 105681769 is a prime.

It is a super-2 number, since 2×105681833² = 22337299652479778, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105681793 and 105681802.

It is not a weakly prime, because it can be changed into another prime (105680833) 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, 52840916 + 52840917.

It is an arithmetic number, because the mean of its divisors is an integer number (52840917).

Almost surely, 2^105681833 is an apocalyptic number.

It is an amenable number.

105681833 is a deficient number, since it is larger than the sum of its proper divisors (1).

105681833 is an equidigital number, since it uses as much as digits as its factorization.

105681833 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 105681833 is about 10280.1669733521. The cubic root of 105681833 is about 472.7883636789.

The spelling of 105681833 in words is "one hundred five million, six hundred eighty-one thousand, eight hundred thirty-three".