10087189225 has 27 divisors (see below), whose sum is σ = 12782295813. Its totient is φ = 7896601440.

The previous prime is 10087189223. The next prime is 10087189267. The reversal of 10087189225 is 52298178001.

It is a happy number.

The square root of 10087189225 is 100435.

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 75986089 + 10011203136 = 8717^2 + 100056^2 .

It is not a de Polignac number, because 10087189225 - 2¹ = 10087189223 is a prime.

It is a super-2 number, since 2×10087189225² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10087189223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26615086 + ... + 26615464.

Almost surely, 2^10087189225 is an apocalyptic number.

10087189225 is the 100435-th square number.

10087189225 is the 50218-th centered octagonal number.

It is an amenable number.

10087189225 is a deficient number, since it is larger than the sum of its proper divisors (2695106588).

10087189225 is an frugal number, since it uses more digits than its factorization.

10087189225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 43.

It can be divided in two parts, 100871 and 89225, that added together give a square (190096 = 436²).

The spelling of 10087189225 in words is "ten billion, eighty-seven million, one hundred eighty-nine thousand, two hundred twenty-five".