10067112225 has 27 divisors (see below), whose sum is σ = 18034012633. Its totient is φ = 5368323840.

The previous prime is 10067112217. The next prime is 10067112233. The reversal of 10067112225 is 52221176001.

The square root of 10067112225 is 100335.

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

It is an interprime number because it is at equal distance from previous prime (10067112217) and next prime (10067112233).

It can be written as a sum of positive squares in 4 ways, for example, as 499924881 + 9567187344 = 22359^2 + 97812^2 .

It is not a de Polignac number, because 10067112225 - 2³ = 10067112217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1501681 + ... + 1508369.

Almost surely, 2^10067112225 is an apocalyptic number.

10067112225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10067112225 is the 100335-th square number.

10067112225 is the 50168-th centered octagonal number.

It is an amenable number.

10067112225 is a deficient number, since it is larger than the sum of its proper divisors (7966900408).

10067112225 is an frugal number, since it uses more digits than its factorization.

10067112225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13394 (or 6697 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 10067112225 its reverse (52221176001), we get a palindrome (62288288226).

It can be divided in two parts, 100671 and 12225, that added together give a square (112896 = 336²).

The spelling of 10067112225 in words is "ten billion, sixty-seven million, one hundred twelve thousand, two hundred twenty-five".