100145552925625 has 15 divisors (see below), whose sum is σ = 125142195563913. Its totient is φ = 80116242195000.

The previous prime is 100145552925547. The next prime is 100145552925629. The reversal of 100145552925625 is 526529255541001.

The square root of 100145552925625 is 10007275.

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

It can be written as a sum of positive squares in 2 ways, for example, as 7851411349369 + 92294141576256 = 2802037^2 + 9606984^2 .

It is not a de Polignac number, because 100145552925625 - 2⁷ = 100145552925497 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100145552925629) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 249981730 + ... + 250382020.

Almost surely, 2^{100145552925625} is an apocalyptic number.

100145552925625 is the 10007275-th square number.

100145552925625 is the 5003638-th centered octagonal number.

It is an amenable number.

100145552925625 is a deficient number, since it is larger than the sum of its proper divisors (24996642638288).

100145552925625 is an frugal number, since it uses more digits than its factorization.

100145552925625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800602 (or 400296 counting only the distinct ones).

The product of its (nonzero) digits is 5400000, while the sum is 52.

The spelling of 100145552925625 in words is "one hundred trillion, one hundred forty-five billion, five hundred fifty-two million, nine hundred twenty-five thousand, six hundred twenty-five".