100828810236025 has 9 divisors (see below), whose sum is σ = 125027786949103. Its totient is φ = 80663008023400.

The previous prime is 100828810235953. The next prime is 100828810236101. The reversal of 100828810236025 is 520632018828001.

The square root of 100828810236025 is 10041355.

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

It can be written as a sum of positive squares in only one way, i.e., 36298371684969 + 64530438551056 = 6024813^2 + 8033084^2 .

It is not a de Polignac number, because 100828810236025 - 2⁹ = 100828810235513 is a prime.

It is a super-2 number, since 2×100828810236025² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 49202640 + ... + 51210910.

Almost surely, 2^{100828810236025} is an apocalyptic number.

100828810236025 is the 10041355-th square number.

100828810236025 is the 5020678-th centered octagonal number.

It is an amenable number.

100828810236025 is a deficient number, since it is larger than the sum of its proper divisors (24198976713078).

100828810236025 is an frugal number, since it uses more digits than its factorization.

100828810236025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4016552 (or 2008276 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

The spelling of 100828810236025 in words is "one hundred trillion, eight hundred twenty-eight billion, eight hundred ten million, two hundred thirty-six thousand, twenty-five".