225126345105 has 48 divisors (see below), whose sum is σ = 393761905680. Its totient is φ = 118981384704.

The previous prime is 225126345079. The next prime is 225126345131. The reversal of 225126345105 is 501543621522.

225126345105 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 2 + 634 + 5 + 10 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (225126345079) and next prime (225126345131).

It can be written as a sum of positive squares in 8 ways, for example, as 53143619841 + 171982725264 = 230529^2 + 414708^2 .

It is not a de Polignac number, because 225126345105 - 2²⁴ = 225109567889 is a prime.

It is a super-2 number, since 2×225126345105² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 225126345105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2592531 + ... + 2677959.

It is an arithmetic number, because the mean of its divisors is an integer number (8203373035).

Almost surely, 2^225126345105 is an apocalyptic number.

It is an amenable number.

225126345105 is a deficient number, since it is larger than the sum of its proper divisors (168635560575).

225126345105 is a wasteful number, since it uses less digits than its factorization.

225126345105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85970 (or 85967 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 225126345105 its reverse (501543621522), we get a palindrome (726669966627).

The spelling of 225126345105 in words is "two hundred twenty-five billion, one hundred twenty-six million, three hundred forty-five thousand, one hundred five".