105335332321 has 16 divisors (see below), whose sum is σ = 111228264000. Its totient is φ = 99477626688.

The previous prime is 105335332307. The next prime is 105335332337. The reversal of 105335332321 is 123233533501.

It is a cyclic number.

It is not a de Polignac number, because 105335332321 - 2²³ = 105326943713 is a prime.

It is a super-2 number, since 2×105335332321² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105335332381) 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, 15829431 + ... + 15836083.

It is an arithmetic number, because the mean of its divisors is an integer number (6951766500).

Almost surely, 2^105335332321 is an apocalyptic number.

It is an amenable number.

105335332321 is a deficient number, since it is larger than the sum of its proper divisors (5892931679).

105335332321 is a wasteful number, since it uses less digits than its factorization.

105335332321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9168.

The product of its (nonzero) digits is 24300, while the sum is 31.

Adding to 105335332321 its reverse (123233533501), we get a palindrome (228568865822).

The spelling of 105335332321 in words is "one hundred five billion, three hundred thirty-five million, three hundred thirty-two thousand, three hundred twenty-one".