105413605704 has 432 divisors, whose sum is σ = 333022517100. Its totient is φ = 30093803520.

The previous prime is 105413605679. The next prime is 105413605711. The reversal of 105413605704 is 407506314501.

105413605704 is a `hidden beast` number, since 1 + 0 + 5 + 41 + 3 + 605 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102590808804 + 2822796900 = 320298^2 + 53130^2 .

It is a super-2 number, since 2×105413605704² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 107 ways as a sum of consecutive naturals, for example, 410169544 + ... + 410169800.

Almost surely, 2^105413605704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105413605704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166511258550).

105413605704 is an abundant number, since it is smaller than the sum of its proper divisors (227608911396).

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

105413605704 is a wasteful number, since it uses less digits than its factorization.

105413605704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

It can be divided in two parts, 105413 and 605704, that added together give a palindrome (711117).

The spelling of 105413605704 in words is "one hundred five billion, four hundred thirteen million, six hundred five thousand, seven hundred four".