105064 has 16 divisors (see below), whose sum is σ = 205920. Its totient is φ = 50160.

The previous prime is 105037. The next prime is 105071. The reversal of 105064 is 460501.

It is a super-2 number, since 2×105064^{2} = 22076888192, which contains 22 as substring.

It is an unprimeable number.

105064 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 102 + ... + 469.

It is an arithmetic number, because the mean of its divisors is an integer number (12870).

2^{105064} is an apocalyptic number.

It is an amenable number.

105064 is a deficient number, since it is larger than the sum of its proper divisors (100856).

105064 is a wasteful number, since it uses less digits than its factorization.

105064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 105064 is about 324.1357740207. The cubic root of 105064 is about 47.1865230124.

Adding to 105064 its reverse (460501), we get a palindrome (565565).

It can be divided in two parts, 10506 and 4, that multiplied together give a palindrome (42024).

The spelling of 105064 in words is "one hundred five thousand, sixty-four".

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