105456366 has 12 divisors (see below), whose sum is σ = 228488832. Its totient is φ = 35152116.

The previous prime is 105456359. The next prime is 105456409. The reversal of 105456366 is 663654501.

105456366 is a `hidden beast` number, since 10 + 5 + 4 + 5 + 636 + 6 = 666.

It is a super-2 number, since 2×105456366² = 22242090259851912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105456366.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2929326 + ... + 2929361.

It is an arithmetic number, because the mean of its divisors is an integer number (19040736).

Almost surely, 2^105456366 is an apocalyptic number.

105456366 is an abundant number, since it is smaller than the sum of its proper divisors (123032466).

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

105456366 is a wasteful number, since it uses less digits than its factorization.

105456366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5858695 (or 5858692 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 105456366 is about 10269.1950025306. The cubic root of 105456366 is about 472.4519007055.

The spelling of 105456366 in words is "one hundred five million, four hundred fifty-six thousand, three hundred sixty-six".