105358165776 has 200 divisors, whose sum is σ = 307578789144. Its totient is φ = 34816573440.

The previous prime is 105358165751. The next prime is 105358165811. The reversal of 105358165776 is 677561853501.

It is a happy number.

105358165776 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 58 + 16 + 577 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17896018176 + 87462147600 = 133776^2 + 295740^2 .

It is a super-2 number, since 2×105358165776² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99300286 + ... + 99301346.

Almost surely, 2^105358165776 is an apocalyptic number.

105358165776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105358165776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153789394572).

105358165776 is an abundant number, since it is smaller than the sum of its proper divisors (202220623368).

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

105358165776 is a wasteful number, since it uses less digits than its factorization.

105358165776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 105358165776 in words is "one hundred five billion, three hundred fifty-eight million, one hundred sixty-five thousand, seven hundred seventy-six".