105236064 has 72 divisors (see below), whose sum is σ = 307820520. Its totient is φ = 34978176.

The previous prime is 105236057. The next prime is 105236083. The reversal of 105236064 is 460632501.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

105236064 is a `hidden beast` number, since 1 + 0 + 52 + 3 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×105236064² = 22149258332424192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301362 + ... + 301710.

It is an arithmetic number, because the mean of its divisors is an integer number (4275285).

Almost surely, 2^105236064 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 105236064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153910260).

105236064 is an abundant number, since it is smaller than the sum of its proper divisors (202584456).

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

105236064 is an frugal number, since it uses more digits than its factorization.

105236064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 105236064 is about 10258.4630427759. The cubic root of 105236064 is about 472.1226818894.

Adding to 105236064 its reverse (460632501), we get a palindrome (565868565).

The spelling of 105236064 in words is "one hundred five million, two hundred thirty-six thousand, sixty-four".