105525251057 has 2 divisors, whose sum is σ = 105525251058. Its totient is φ = 105525251056.

The previous prime is 105525250991. The next prime is 105525251099. The reversal of 105525251057 is 750152525501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102445445041 + 3079806016 = 320071^2 + 55496^2 .

It is a cyclic number.

It is not a de Polignac number, because 105525251057 - 2²⁰ = 105524202481 is a prime.

It is a super-2 number, since 2×105525251057² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105525251057.

It is not a weakly prime, because it can be changed into another prime (105525251857) 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, 52762625528 + 52762625529.

It is an arithmetic number, because the mean of its divisors is an integer number (52762625529).

Almost surely, 2^105525251057 is an apocalyptic number.

It is an amenable number.

105525251057 is a deficient number, since it is larger than the sum of its proper divisors (1).

105525251057 is an equidigital number, since it uses as much as digits as its factorization.

105525251057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 87500, while the sum is 38.

Adding to 105525251057 its reverse (750152525501), we get a palindrome (855677776558).

The spelling of 105525251057 in words is "one hundred five billion, five hundred twenty-five million, two hundred fifty-one thousand, fifty-seven".