105557681225 has 6 divisors (see below), whose sum is σ = 130891524750. Its totient is φ = 84446144960.

The previous prime is 105557681167. The next prime is 105557681233. The reversal of 105557681225 is 522186755501.

It can be written as a sum of positive squares in 3 ways, for example, as 687278656 + 104870402569 = 26216^2 + 323837^2 .

It is not a de Polignac number, because 105557681225 - 2⁶ = 105557681161 is a prime.

It is a super-2 number, since 2×105557681225² (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 105557681225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2111153600 + ... + 2111153649.

It is an arithmetic number, because the mean of its divisors is an integer number (21815254125).

Almost surely, 2^105557681225 is an apocalyptic number.

It is an amenable number.

105557681225 is a deficient number, since it is larger than the sum of its proper divisors (25333843525).

105557681225 is an equidigital number, since it uses as much as digits as its factorization.

105557681225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4222307259 (or 4222307254 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 47.

The spelling of 105557681225 in words is "one hundred five billion, five hundred fifty-seven million, six hundred eighty-one thousand, two hundred twenty-five".