106823211301 has 16 divisors (see below), whose sum is σ = 115212303360. Its totient is φ = 98724841200.

The previous prime is 106823211251. The next prime is 106823211307. The reversal of 106823211301 is 103112328601.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 106823211301 - 2²¹ = 106821114149 is a prime.

It is a super-2 number, since 2×106823211301² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106823211301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106823211307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79326 + ... + 468976.

It is an arithmetic number, because the mean of its divisors is an integer number (7200768960).

Almost surely, 2^106823211301 is an apocalyptic number.

It is an amenable number.

106823211301 is a deficient number, since it is larger than the sum of its proper divisors (8389092059).

106823211301 is a wasteful number, since it uses less digits than its factorization.

106823211301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390024.

The product of its (nonzero) digits is 1728, while the sum is 28.

Adding to 106823211301 its reverse (103112328601), we get a palindrome (209935539902).

The spelling of 106823211301 in words is "one hundred six billion, eight hundred twenty-three million, two hundred eleven thousand, three hundred one".