105161510556 has 288 divisors, whose sum is σ = 288254453760. Its totient is φ = 32272128000.

The previous prime is 105161510551. The next prime is 105161510563. The reversal of 105161510556 is 655015161501.

It is a happy number.

105161510556 is a `hidden beast` number, since 1 + 0 + 51 + 6 + 1 + 51 + 0 + 556 = 666.

105161510556 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105161510556² (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 self number, because there is not a number n which added to its sum of digits gives 105161510556.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105161510551) 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 95 ways as a sum of consecutive naturals, for example, 262247956 + ... + 262248356.

It is an arithmetic number, because the mean of its divisors is an integer number (1000883520).

Almost surely, 2^105161510556 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 105161510556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144127226880).

105161510556 is an abundant number, since it is smaller than the sum of its proper divisors (183092943204).

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

105161510556 is a wasteful number, since it uses less digits than its factorization.

105161510556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 105161510556 in words is "one hundred five billion, one hundred sixty-one million, five hundred ten thousand, five hundred fifty-six".