105664356 has 36 divisors (see below), whose sum is σ = 305253312. Its totient is φ = 30189744.

The previous prime is 105664327. The next prime is 105664357. The reversal of 105664356 is 653466501.

105664356 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 643 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105664356² = 22329912257789472, which 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 105664356.

It is not an unprimeable number, because it can be changed into a prime (105664357) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 209400 + ... + 209903.

Almost surely, 2^105664356 is an apocalyptic number.

It is an amenable number.

105664356 is an abundant number, since it is smaller than the sum of its proper divisors (199588956).

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

105664356 is a wasteful number, since it uses less digits than its factorization.

105664356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419320 (or 419315 counting only the distinct ones).

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

The square root of 105664356 is about 10279.3169033745. The cubic root of 105664356 is about 472.7622999821.

The spelling of 105664356 in words is "one hundred five million, six hundred sixty-four thousand, three hundred fifty-six".