105002105057 has 2 divisors, whose sum is σ = 105002105058. Its totient is φ = 105002105056.

The previous prime is 105002105041. The next prime is 105002105071. The reversal of 105002105057 is 750501200501.

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., 87800208721 + 17201896336 = 296311^2 + 131156^2 .

It is a cyclic number.

It is not a de Polignac number, because 105002105057 - 2⁴ = 105002105041 is a prime.

It is a super-2 number, since 2×105002105057² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105002105557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52501052528 + 52501052529.

It is an arithmetic number, because the mean of its divisors is an integer number (52501052529).

Almost surely, 2^105002105057 is an apocalyptic number.

It is an amenable number.

105002105057 is a deficient number, since it is larger than the sum of its proper divisors (1).

105002105057 is an equidigital number, since it uses as much as digits as its factorization.

105002105057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1750, while the sum is 26.

Adding to 105002105057 its reverse (750501200501), we get a palindrome (855503305558).

The spelling of 105002105057 in words is "one hundred five billion, two million, one hundred five thousand, fifty-seven".