105785664 has 56 divisors (see below), whose sum is σ = 287475168. Its totient is φ = 34306560.

The previous prime is 105785629. The next prime is 105785681. The reversal of 105785664 is 466587501.

It is a super-2 number, since 2×105785664² = 22381213415841792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 342 + ... + 14549.

Almost surely, 2^105785664 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 105785664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143737584).

105785664 is an abundant number, since it is smaller than the sum of its proper divisors (181689504).

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

105785664 is a wasteful number, since it uses less digits than its factorization.

105785664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14943 (or 14933 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 105785664 is about 10285.2157974444. The cubic root of 105785664 is about 472.9431490984.

The spelling of 105785664 in words is "one hundred five million, seven hundred eighty-five thousand, six hundred sixty-four".