105416064 has 96 divisors (see below), whose sum is σ = 326726400. Its totient is φ = 32431104.

The previous prime is 105416063. The next prime is 105416081. The reversal of 105416064 is 460614501.

105416064 is a `hidden beast` number, since 1 + 0 + 54 + 1 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105416064² = 22225093098504192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105416063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11457 + ... + 18495.

It is an arithmetic number, because the mean of its divisors is an integer number (3403400).

Almost surely, 2^105416064 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 105416064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163363200).

105416064 is an abundant number, since it is smaller than the sum of its proper divisors (221310336).

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

105416064 is a wasteful number, since it uses less digits than its factorization.

105416064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7072 (or 7057 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 105416064 is about 10267.2325385179. The cubic root of 105416064 is about 472.3917077767.

The spelling of 105416064 in words is "one hundred five million, four hundred sixteen thousand, sixty-four".