105835785821 has 2 divisors, whose sum is σ = 105835785822. Its totient is φ = 105835785820.

The previous prime is 105835785787. The next prime is 105835785889. The reversal of 105835785821 is 128587538501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99973586596 + 5862199225 = 316186^2 + 76565^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105835785821 is a prime.

It is a super-2 number, since 2×105835785821² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105835785521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52917892910 + 52917892911.

It is an arithmetic number, because the mean of its divisors is an integer number (52917892911).

Almost surely, 2^105835785821 is an apocalyptic number.

It is an amenable number.

105835785821 is a deficient number, since it is larger than the sum of its proper divisors (1).

105835785821 is an equidigital number, since it uses as much as digits as its factorization.

105835785821 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2688000, while the sum is 53.

The spelling of 105835785821 in words is "one hundred five billion, eight hundred thirty-five million, seven hundred eighty-five thousand, eight hundred twenty-one".