10505220345 has 32 divisors (see below), whose sum is σ = 18691200000. Its totient is φ = 5598208512.

The previous prime is 10505220331. The next prime is 10505220361. The reversal of 10505220345 is 54302250501.

It is a happy number.

10505220345 is a `hidden beast` number, since 105 + 0 + 522 + 0 + 34 + 5 = 666.

10505220345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10505220345 - 2¹⁶ = 10505154809 is a prime.

It is a super-2 number, since 2×10505220345² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137464 + ... + 199766.

It is an arithmetic number, because the mean of its divisors is an integer number (584100000).

Almost surely, 2^10505220345 is an apocalyptic number.

10505220345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10505220345 is a deficient number, since it is larger than the sum of its proper divisors (8185979655).

10505220345 is a wasteful number, since it uses less digits than its factorization.

10505220345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63566 (or 63560 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 10505220345 its reverse (54302250501), we get a palindrome (64807470846).

The spelling of 10505220345 in words is "ten billion, five hundred five million, two hundred twenty thousand, three hundred forty-five".