105264558025 has 81 divisors (see below), whose sum is σ = 152849501077. Its totient is φ = 71845100800.

The previous prime is 105264557941. The next prime is 105264558029. The reversal of 105264558025 is 520855462501.

The square root of 105264558025 is 324445.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2462243641 + 102802314384 = 49621^2 + 320628^2 .

It is not a de Polignac number, because 105264558025 - 2⁹ = 105264557513 is a prime.

It is a super-2 number, since 2×105264558025² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105264558029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 303355902 + ... + 303356248.

Almost surely, 2^105264558025 is an apocalyptic number.

105264558025 is the 324445-th square number.

105264558025 is the 162223-rd centered octagonal number.

It is an amenable number.

105264558025 is a deficient number, since it is larger than the sum of its proper divisors (47584943052).

105264558025 is an equidigital number, since it uses as much as digits as its factorization.

105264558025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 43.

The spelling of 105264558025 in words is "one hundred five billion, two hundred sixty-four million, five hundred fifty-eight thousand, twenty-five".