105055501381 has 2 divisors, whose sum is σ = 105055501382. Its totient is φ = 105055501380.

The previous prime is 105055501321. The next prime is 105055501387. The reversal of 105055501381 is 183105550501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72000988900 + 33054512481 = 268330^2 + 181809^2 .

It is an emirp because it is prime and its reverse (183105550501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105055501381 - 2⁷ = 105055501253 is a prime.

It is a super-2 number, since 2×105055501381² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105055501387) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52527750690 + 52527750691.

It is an arithmetic number, because the mean of its divisors is an integer number (52527750691).

Almost surely, 2^105055501381 is an apocalyptic number.

It is an amenable number.

105055501381 is a deficient number, since it is larger than the sum of its proper divisors (1).

105055501381 is an equidigital number, since it uses as much as digits as its factorization.

105055501381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15000, while the sum is 34.

The spelling of 105055501381 in words is "one hundred five billion, fifty-five million, five hundred one thousand, three hundred eighty-one".