105540716304 has 120 divisors (see below), whose sum is σ = 305566673880. Its totient is φ = 33979336704.

The previous prime is 105540716299. The next prime is 105540716321. The reversal of 105540716304 is 403617045501.

105540716304 is a `hidden beast` number, since 1 + 0 + 554 + 0 + 71 + 6 + 30 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21799931904 + 83740784400 = 147648^2 + 289380^2 .

It is a super-2 number, since 2×105540716304² (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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 657642 + ... + 802230.

It is an arithmetic number, because the mean of its divisors is an integer number (2546388949).

Almost surely, 2^105540716304 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 105540716304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152783336940).

105540716304 is an abundant number, since it is smaller than the sum of its proper divisors (200025957576).

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

105540716304 is a wasteful number, since it uses less digits than its factorization.

105540716304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144777 (or 144768 counting only the distinct ones).

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

The spelling of 105540716304 in words is "one hundred five billion, five hundred forty million, seven hundred sixteen thousand, three hundred four".