105336110304 has 72 divisors (see below), whose sum is σ = 299593410480. Its totient is φ = 35106897408.

The previous prime is 105336110279. The next prime is 105336110351. The reversal of 105336110304 is 403011633501.

105336110304 is a `hidden beast` number, since 10 + 5 + 3 + 3 + 611 + 0 + 30 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×105336110304² (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 11 ways as a sum of consecutive naturals, for example, 2292484 + ... + 2337980.

It is an arithmetic number, because the mean of its divisors is an integer number (4161019590).

Almost surely, 2^105336110304 is an apocalyptic number.

It is an amenable number.

105336110304 is an abundant number, since it is smaller than the sum of its proper divisors (194257300176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105336110304 is a wasteful number, since it uses less digits than its factorization.

105336110304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53552 (or 53541 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 105336110304 its reverse (403011633501), we get a palindrome (508347743805).

The spelling of 105336110304 in words is "one hundred five billion, three hundred thirty-six million, one hundred ten thousand, three hundred four".