105664000 has 160 divisors (see below), whose sum is σ = 285981696. Its totient is φ = 38707200.

The previous prime is 105663979. The next prime is 105664003. The reversal of 105664000 is 466501.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×105664000² = 22329761792000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105664003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 831937 + ... + 832063.

Almost surely, 2^105664000 is an apocalyptic number.

105664000 is a gapful number since it is divisible by the number (10) 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 105664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142990848).

105664000 is an abundant number, since it is smaller than the sum of its proper divisors (180317696).

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

105664000 is an equidigital number, since it uses as much as digits as its factorization.

105664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 105664000 is about 10279.2995870341. The cubic root of 105664000 is about 472.7617690444.

It can be divided in two parts, 1056 and 64000, that added together give a palindrome (65056).

The spelling of 105664000 in words is "one hundred five million, six hundred sixty-four thousand".