105001000061057 has 2 divisors, whose sum is σ = 105001000061058. Its totient is φ = 105001000061056.

The previous prime is 105001000061017. The next prime is 105001000061059. The reversal of 105001000061057 is 750160000100501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104970864489841 + 30135571216 = 10245529^2 + 173596^2 .

It is an emirp because it is prime and its reverse (750160000100501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105001000061057 - 2⁶ = 105001000060993 is a prime.

It is a super-2 number, since 2×105001000061057² (a number of 29 digits) contains 22 as substring.

Together with 105001000061059, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105001000061059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52500500030528 + 52500500030529.

It is an arithmetic number, because the mean of its divisors is an integer number (52500500030529).

Almost surely, 2^{105001000061057} is an apocalyptic number.

It is an amenable number.

105001000061057 is a deficient number, since it is larger than the sum of its proper divisors (1).

105001000061057 is an equidigital number, since it uses as much as digits as its factorization.

105001000061057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1050, while the sum is 26.

Adding to 105001000061057 its reverse (750160000100501), we get a palindrome (855161000161558).

The spelling of 105001000061057 in words is "one hundred five trillion, one billion, sixty-one thousand, fifty-seven".