105610605000516 has 576 divisors, whose sum is σ = 364728685547520. Its totient is φ = 25987512139200.

The previous prime is 105610605000499. The next prime is 105610605000517. The reversal of 105610605000516 is 615000506016501.

It is a super-2 number, since 2×105610605000516² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105610605000517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 242951001 + ... + 243385311.

It is an arithmetic number, because the mean of its divisors is an integer number (633209523520).

Almost surely, 2^{105610605000516} 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 105610605000516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182364342773760).

105610605000516 is an abundant number, since it is smaller than the sum of its proper divisors (259118080547004).

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

105610605000516 is a wasteful number, since it uses less digits than its factorization.

105610605000516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434392 (or 434353 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 105610605000516 in words is "one hundred five trillion, six hundred ten billion, six hundred five million, five hundred sixteen", and thus it is an aban number.