105415320224 has 24 divisors (see below), whose sum is σ = 207702652500. Its totient is φ = 52665440256.

The previous prime is 105415320221. The next prime is 105415320251. The reversal of 105415320224 is 422023514501.

It can be written as a sum of positive squares in 2 ways, for example, as 95523028624 + 9892291600 = 309068^2 + 99460^2 .

It is a super-2 number, since 2×105415320224² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105415320221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1278779 + ... + 1358714.

Almost surely, 2^105415320224 is an apocalyptic number.

It is an amenable number.

105415320224 is a deficient number, since it is larger than the sum of its proper divisors (102287332276).

105415320224 is a wasteful number, since it uses less digits than its factorization.

105415320224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638752 (or 2638744 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 105415320224 its reverse (422023514501), we get a palindrome (527438834725).

The spelling of 105415320224 in words is "one hundred five billion, four hundred fifteen million, three hundred twenty thousand, two hundred twenty-four".