105054344401 has 2 divisors, whose sum is σ = 105054344402. Its totient is φ = 105054344400.

The previous prime is 105054344309. The next prime is 105054344407. The reversal of 105054344401 is 104443450501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53627443776 + 51426900625 = 231576^2 + 226775^2 .

It is a cyclic number.

It is not a de Polignac number, because 105054344401 - 2¹⁵ = 105054311633 is a prime.

It is a super-3 number, since 3×105054344401³ (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 (105054344407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52527172200 + 52527172201.

It is an arithmetic number, because the mean of its divisors is an integer number (52527172201).

Almost surely, 2^105054344401 is an apocalyptic number.

It is an amenable number.

105054344401 is a deficient number, since it is larger than the sum of its proper divisors (1).

105054344401 is an equidigital number, since it uses as much as digits as its factorization.

105054344401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 105054344401 its reverse (104443450501), we get a palindrome (209497794902).

The spelling of 105054344401 in words is "one hundred five billion, fifty-four million, three hundred forty-four thousand, four hundred one".