105054240329 has 2 divisors, whose sum is σ = 105054240330. Its totient is φ = 105054240328.

The previous prime is 105054240323. The next prime is 105054240481. The reversal of 105054240329 is 923042450501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73397646400 + 31656593929 = 270920^2 + 177923^2 .

It is a cyclic number.

It is not a de Polignac number, because 105054240329 - 2¹² = 105054236233 is a prime.

It is a super-3 number, since 3×105054240329³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (105054240323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52527120164 + 52527120165.

It is an arithmetic number, because the mean of its divisors is an integer number (52527120165).

Almost surely, 2^105054240329 is an apocalyptic number.

It is an amenable number.

105054240329 is a deficient number, since it is larger than the sum of its proper divisors (1).

105054240329 is an equidigital number, since it uses as much as digits as its factorization.

105054240329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 105054240329 in words is "one hundred five billion, fifty-four million, two hundred forty thousand, three hundred twenty-nine".