105664188 has 72 divisors (see below), whose sum is σ = 290957184. Its totient is φ = 29752800.

The previous prime is 105664183. The next prime is 105664189. The reversal of 105664188 is 881466501.

It is a super-2 number, since 2×105664188² = 22329841251398688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105664183) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40483 + ... + 43013.

It is an arithmetic number, because the mean of its divisors is an integer number (4041072).

Almost surely, 2^105664188 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105664188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145478592).

105664188 is an abundant number, since it is smaller than the sum of its proper divisors (185292996).

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

105664188 is a wasteful number, since it uses less digits than its factorization.

105664188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2623 (or 2614 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 105664188 is about 10279.3087316220. The cubic root of 105664188 is about 472.7620494274.

The spelling of 105664188 in words is "one hundred five million, six hundred sixty-four thousand, one hundred eighty-eight".