105413224304 has 20 divisors (see below), whose sum is σ = 205461110064. Its totient is φ = 52391002368.

The previous prime is 105413224277. The next prime is 105413224313. The reversal of 105413224304 is 403422314501.

It is a super-2 number, since 2×105413224304² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 19722857 + ... + 19728200.

Almost surely, 2^105413224304 is an apocalyptic number.

It is an amenable number.

105413224304 is a deficient number, since it is larger than the sum of its proper divisors (100047885760).

105413224304 is a wasteful number, since it uses less digits than its factorization.

105413224304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39451232 (or 39451226 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 105413224304 its reverse (403422314501), we get a palindrome (508835538805).

The spelling of 105413224304 in words is "one hundred five billion, four hundred thirteen million, two hundred twenty-four thousand, three hundred four".