10765100025 has 27 divisors (see below), whose sum is σ = 19284278221. Its totient is φ = 5740556640.

The previous prime is 10765099999. The next prime is 10765100033. The reversal of 10765100025 is 52000156701.

The square root of 10765100025 is 103755.

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

10765100025 is a `hidden beast` number, since 1 + 0 + 7 + 651 + 0 + 0 + 0 + 2 + 5 = 666.

10765100025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 622521 + 10764477504 = 789^2 + 103752^2 .

It is not a de Polignac number, because 10765100025 - 2¹⁹ = 10764575737 is a prime.

It is a Duffinian number.

It is a Curzon number.

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 26 ways as a sum of consecutive naturals, for example, 1552867 + ... + 1559783.

Almost surely, 2^10765100025 is an apocalyptic number.

10765100025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10765100025 is the 103755-th square number.

10765100025 is the 51878-th centered octagonal number.

It is an amenable number.

10765100025 is a deficient number, since it is larger than the sum of its proper divisors (8519178196).

10765100025 is an frugal number, since it uses more digits than its factorization.

10765100025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13850 (or 6925 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

Adding to 10765100025 its reverse (52000156701), we get a palindrome (62765256726).

The spelling of 10765100025 in words is "ten billion, seven hundred sixty-five million, one hundred thousand, twenty-five".