10420435302305 has 48 divisors (see below), whose sum is σ = 14753228260176. Its totient is φ = 7044256235520.

The previous prime is 10420435302289. The next prime is 10420435302311. The reversal of 10420435302305 is 50320353402401.

It can be written as a sum of positive squares in 8 ways, for example, as 1107739410064 + 9312695892241 = 1052492^2 + 3051671^2 .

It is not a de Polignac number, because 10420435302305 - 2⁴ = 10420435302289 is a prime.

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, 5254535 + ... + 6960675.

It is an arithmetic number, because the mean of its divisors is an integer number (307358922087).

Almost surely, 2^{10420435302305} is an apocalyptic number.

It is an amenable number.

10420435302305 is a deficient number, since it is larger than the sum of its proper divisors (4332792957871).

10420435302305 is a wasteful number, since it uses less digits than its factorization.

10420435302305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706514 (or 1706507 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

Adding to 10420435302305 its reverse (50320353402401), we get a palindrome (60740788704706).

The spelling of 10420435302305 in words is "ten trillion, four hundred twenty billion, four hundred thirty-five million, three hundred two thousand, three hundred five".