105005010303 has 12 divisors (see below), whose sum is σ = 151879155480. Its totient is φ = 69908608656.

The previous prime is 105005010301. The next prime is 105005010311. The reversal of 105005010303 is 303010500501.

It is a happy number.

105005010303 is a `hidden beast` number, since 10 + 500 + 50 + 103 + 0 + 3 = 666.

It is not a de Polignac number, because 105005010303 - 2¹ = 105005010301 is a prime.

It is a super-2 number, since 2×105005010303² (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 (105005010301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7887276 + ... + 7900577.

It is an arithmetic number, because the mean of its divisors is an integer number (12656596290).

Almost surely, 2^105005010303 is an apocalyptic number.

105005010303 is a deficient number, since it is larger than the sum of its proper divisors (46874145177).

105005010303 is a wasteful number, since it uses less digits than its factorization.

105005010303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15788598 (or 15788595 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

Adding to 105005010303 its reverse (303010500501), we get a palindrome (408015510804).

The spelling of 105005010303 in words is "one hundred five billion, five million, ten thousand, three hundred three".