105303415533 has 24 divisors (see below), whose sum is σ = 148632597120. Its totient is φ = 66299925120.

The previous prime is 105303415489. The next prime is 105303415559. The reversal of 105303415533 is 335514303501.

It is a happy number.

It is not a de Polignac number, because 105303415533 - 2⁸ = 105303415277 is a prime.

It is a super-2 number, since 2×105303415533² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105303415494 and 105303415503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105303415033) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 294588 + ... + 545333.

It is an arithmetic number, because the mean of its divisors is an integer number (6193024880).

Almost surely, 2^105303415533 is an apocalyptic number.

It is an amenable number.

105303415533 is a deficient number, since it is larger than the sum of its proper divisors (43329181587).

105303415533 is an equidigital number, since it uses as much as digits as its factorization.

105303415533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840049 (or 840026 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 33.

The spelling of 105303415533 in words is "one hundred five billion, three hundred three million, four hundred fifteen thousand, five hundred thirty-three".