105500605303 has 16 divisors (see below), whose sum is σ = 121640508000. Its totient is φ = 90824896512.

The previous prime is 105500605291. The next prime is 105500605351. The reversal of 105500605303 is 303506005501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105500605303 - 2³³ = 96910670711 is a prime.

It is a super-2 number, since 2×105500605303² (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 (105500605363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5622138 + ... + 5640871.

It is an arithmetic number, because the mean of its divisors is an integer number (7602531750).

Almost surely, 2^105500605303 is an apocalyptic number.

105500605303 is a deficient number, since it is larger than the sum of its proper divisors (16139902697).

105500605303 is a wasteful number, since it uses less digits than its factorization.

105500605303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11263074.

The product of its (nonzero) digits is 6750, while the sum is 28.

The spelling of 105500605303 in words is "one hundred five billion, five hundred million, six hundred five thousand, three hundred three".