52105620 has 144 divisors (see below), whose sum is σ = 174666240. Its totient is φ = 11563776.

The previous prime is 52105609. The next prime is 52105661. The reversal of 52105620 is 2650125.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 47 ways as a sum of consecutive naturals, for example, 108541 + ... + 109019.

It is an arithmetic number, because the mean of its divisors is an integer number (1212960).

Almost surely, 2^52105620 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 52105620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87333120).

52105620 is an abundant number, since it is smaller than the sum of its proper divisors (122560620).

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

52105620 is a wasteful number, since it uses less digits than its factorization.

52105620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 52105620 is about 7218.4222652876. The cubic root of 52105620 is about 373.5036549232.

Adding to 52105620 its reverse (2650125), we get a palindrome (54755745).

It can be divided in two parts, 52105 and 620, that added together give a palindrome (52725).

The spelling of 52105620 in words is "fifty-two million, one hundred five thousand, six hundred twenty".