105353355303 has 24 divisors (see below), whose sum is σ = 183070160000. Its totient is φ = 57033394704.

The previous prime is 105353355293. The next prime is 105353355319. The reversal of 105353355303 is 303553353501.

105353355303 is a `hidden beast` number, since 1 + 0 + 53 + 53 + 3 + 553 + 0 + 3 = 666.

It is not a de Polignac number, because 105353355303 - 2⁴ = 105353355287 is a prime.

It is a super-2 number, since 2×105353355303² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105353355403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44006053 + ... + 44008446.

Almost surely, 2^105353355303 is an apocalyptic number.

105353355303 is a deficient number, since it is larger than the sum of its proper divisors (77716804697).

105353355303 is a wasteful number, since it uses less digits than its factorization.

105353355303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88014531 (or 88014528 counting only the distinct ones).

The product of its (nonzero) digits is 151875, while the sum is 36.

The spelling of 105353355303 in words is "one hundred five billion, three hundred fifty-three million, three hundred fifty-five thousand, three hundred three".