536105020 has 72 divisors (see below), whose sum is σ = 1280311200. Its totient is φ = 188200320.

The previous prime is 536104967. The next prime is 536105021. The reversal of 536105020 is 20501635.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 536104982 and 536105000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536105021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66361 + ... + 73999.

It is an arithmetic number, because the mean of its divisors is an integer number (17782100).

Almost surely, 2^536105020 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 536105020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640155600).

536105020 is an abundant number, since it is smaller than the sum of its proper divisors (744206180).

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

536105020 is a wasteful number, since it uses less digits than its factorization.

536105020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7699 (or 7686 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 536105020 is about 23153.9417810445. The cubic root of 536105020 is about 812.3626693337.

Adding to 536105020 its reverse (20501635), we get a palindrome (556606655).

The spelling of 536105020 in words is "five hundred thirty-six million, one hundred five thousand, twenty".