1020105310225 has 6 divisors (see below), whose sum is σ = 1264930584710. Its totient is φ = 816084248160.

The previous prime is 1020105310219. The next prime is 1020105310297. The reversal of 1020105310225 is 5220135010201.

It can be written as a sum of positive squares in 3 ways, for example, as 35916314256 + 984188995969 = 189516^2 + 992063^2 .

It is not a de Polignac number, because 1020105310225 - 2¹¹ = 1020105308177 is a prime.

It is a super-2 number, since 2×1020105310225² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020105310196 and 1020105310205.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20402106180 + ... + 20402106229.

Almost surely, 2^{1020105310225} is an apocalyptic number.

It is an amenable number.

1020105310225 is a deficient number, since it is larger than the sum of its proper divisors (244825274485).

1020105310225 is an equidigital number, since it uses as much as digits as its factorization.

1020105310225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40804212419 (or 40804212414 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The spelling of 1020105310225 in words is "one trillion, twenty billion, one hundred five million, three hundred ten thousand, two hundred twenty-five".