53105000 has 160 divisors (see below), whose sum is σ = 144328800. Its totient is φ = 18144000.

The previous prime is 53104979. The next prime is 53105011. The reversal of 53105000 is 50135.

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 39 ways as a sum of consecutive naturals, for example, 1234979 + ... + 1235021.

It is an arithmetic number, because the mean of its divisors is an integer number (902055).

Almost surely, 2^53105000 is an apocalyptic number.

53105000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72164400).

53105000 is an abundant number, since it is smaller than the sum of its proper divisors (91223800).

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

53105000 is a wasteful number, since it uses less digits than its factorization.

53105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 14.

The square root of 53105000 is about 7287.3177507228. The cubic root of 53105000 is about 375.8764683976.

Adding to 53105000 its reverse (50135), we get a palindrome (53155135).

The spelling of 53105000 in words is "fifty-three million, one hundred five thousand".