10505200332235 has 12 divisors (see below), whose sum is σ = 14664402096768. Its totient is φ = 7203565941936.

The previous prime is 10505200332233. The next prime is 10505200332247. The reversal of 10505200332235 is 53223300250501.

It is not a de Polignac number, because 10505200332235 - 2¹ = 10505200332233 is a prime.

It is a super-2 number, since 2×10505200332235² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10505200332197 and 10505200332206.

It is not an unprimeable number, because it can be changed into a prime (10505200332233) 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 11 ways as a sum of consecutive naturals, for example, 21439184107 + ... + 21439184596.

It is an arithmetic number, because the mean of its divisors is an integer number (1222033508064).

Almost surely, 2^{10505200332235} is an apocalyptic number.

10505200332235 is a deficient number, since it is larger than the sum of its proper divisors (4159201764533).

10505200332235 is an equidigital number, since it uses as much as digits as its factorization.

10505200332235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42878368722 (or 42878368715 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 31.

Adding to 10505200332235 its reverse (53223300250501), we get a palindrome (63728500582736).

The spelling of 10505200332235 in words is "ten trillion, five hundred five billion, two hundred million, three hundred thirty-two thousand, two hundred thirty-five".