105364386 has 48 divisors (see below), whose sum is σ = 241712640. Its totient is φ = 33078240.

The previous prime is 105364379. The next prime is 105364397. The reversal of 105364386 is 683463501.

105364386 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 643 + 8 + 6 = 666.

105364386 is a nontrivial binomial coefficient, being equal to C(14517, 2).

It is a super-3 number, since 3×105364386³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105364386.

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, 64516 + ... + 66128.

It is an arithmetic number, because the mean of its divisors is an integer number (5035680).

Almost surely, 2^105364386 is an apocalyptic number.

105364386 is the 14516-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105364386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120856320).

105364386 is an abundant number, since it is smaller than the sum of its proper divisors (136348254).

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

105364386 is a wasteful number, since it uses less digits than its factorization.

105364386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 105364386 is about 10264.7155830057. The cubic root of 105364386 is about 472.3145018050.

The spelling of 105364386 in words is "one hundred five million, three hundred sixty-four thousand, three hundred eighty-six".