105300303365 has 16 divisors (see below), whose sum is σ = 129788119920. Its totient is φ = 81955514880.

The previous prime is 105300303343. The next prime is 105300303377. The reversal of 105300303365 is 563303003501.

It can be written as a sum of positive squares in 8 ways, for example, as 39379227364 + 65921076001 = 198442^2 + 256751^2 .

It is a de Polignac number, because none of the positive numbers 2^k-105300303365 is a prime.

It is a super-2 number, since 2×105300303365² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2507945 + ... + 2549585.

It is an arithmetic number, because the mean of its divisors is an integer number (8111757495).

Almost surely, 2^105300303365 is an apocalyptic number.

It is an amenable number.

105300303365 is a deficient number, since it is larger than the sum of its proper divisors (24487816555).

105300303365 is a wasteful number, since it uses less digits than its factorization.

105300303365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55352.

The product of its (nonzero) digits is 12150, while the sum is 29.

Adding to 105300303365 its reverse (563303003501), we get a palindrome (668603306866).

The spelling of 105300303365 in words is "one hundred five billion, three hundred million, three hundred three thousand, three hundred sixty-five".