53105064 has 64 divisors (see below), whose sum is σ = 138259200. Its totient is φ = 16982784.

The previous prime is 53105053. The next prime is 53105069. The reversal of 53105064 is 46050135.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (53105069) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 69774 + ... + 70530.

It is an arithmetic number, because the mean of its divisors is an integer number (2160300).

Almost surely, 2^53105064 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 53105064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69129600).

53105064 is an abundant number, since it is smaller than the sum of its proper divisors (85154136).

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

53105064 is a wasteful number, since it uses less digits than its factorization.

53105064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 53105064 is about 7287.3221419119. The cubic root of 53105064 is about 375.8766193946.

Adding to 53105064 its reverse (46050135), we get a palindrome (99155199).

The spelling of 53105064 in words is "fifty-three million, one hundred five thousand, sixty-four".