10075140625 has 63 divisors (see below), whose sum is σ = 14034957069. Its totient is φ = 7227000000.

The previous prime is 10075140577. The next prime is 10075140631. The reversal of 10075140625 is 52604157001.

The square root of 10075140625 is 100375.

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

It can be written as a sum of positive squares in 10 ways, for example, as 8839196289 + 1235944336 = 94017^2 + 35156^2 .

It is not a de Polignac number, because 10075140625 - 2⁹ = 10075140113 is a prime.

It is a super-2 number, since 2×10075140625² (a number of 21 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 (13) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 138015589 + ... + 138015661.

Almost surely, 2^10075140625 is an apocalyptic number.

10075140625 is the 100375-th square number.

10075140625 is the 50188-th centered octagonal number.

It is an amenable number.

10075140625 is a deficient number, since it is larger than the sum of its proper divisors (3959816444).

10075140625 is an frugal number, since it uses more digits than its factorization.

10075140625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

Adding to 10075140625 its reverse (52604157001), we get a palindrome (62679297626).

It can be divided in two parts, 100751 and 40625, that added together give a square (141376 = 376²).

The spelling of 10075140625 in words is "ten billion, seventy-five million, one hundred forty thousand, six hundred twenty-five".