10420105442301 has 24 divisors (see below), whose sum is σ = 15607256684760. Its totient is φ = 6691262659200.

The previous prime is 10420105442297. The next prime is 10420105442393. The reversal of 10420105442301 is 10324450102401.

10420105442301 is a `hidden beast` number, since 1 + 0 + 420 + 1 + 0 + 5 + 4 + 4 + 230 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62817903225 + 10357287539076 = 250635^2 + 3218274^2 .

It is not a de Polignac number, because 10420105442301 - 2² = 10420105442297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10420105442101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47305530 + ... + 47525291.

It is an arithmetic number, because the mean of its divisors is an integer number (650302361865).

Almost surely, 2^{10420105442301} is an apocalyptic number.

It is an amenable number.

10420105442301 is a deficient number, since it is larger than the sum of its proper divisors (5187151242459).

10420105442301 is a wasteful number, since it uses less digits than its factorization.

10420105442301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94831277 (or 94831274 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 10420105442301 its reverse (10324450102401), we get a palindrome (20744555544702).

The spelling of 10420105442301 in words is "ten trillion, four hundred twenty billion, one hundred five million, four hundred forty-two thousand, three hundred one".