105551352329 has 2 divisors, whose sum is σ = 105551352330. Its totient is φ = 105551352328.

The previous prime is 105551352317. The next prime is 105551352349. The reversal of 105551352329 is 923253155501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69318991225 + 36232361104 = 263285^2 + 190348^2 .

It is an emirp because it is prime and its reverse (923253155501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105551352329 - 2¹² = 105551348233 is a prime.

It is a super-2 number, since 2×105551352329² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105551352349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52775676164 + 52775676165.

It is an arithmetic number, because the mean of its divisors is an integer number (52775676165).

Almost surely, 2^105551352329 is an apocalyptic number.

It is an amenable number.

105551352329 is a deficient number, since it is larger than the sum of its proper divisors (1).

105551352329 is an equidigital number, since it uses as much as digits as its factorization.

105551352329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 202500, while the sum is 41.

The spelling of 105551352329 in words is "one hundred five billion, five hundred fifty-one million, three hundred fifty-two thousand, three hundred twenty-nine".