536688108100 has 27 divisors (see below), whose sum is σ = 1164629091997. Its totient is φ = 214672312880.

The previous prime is 536688108017. The next prime is 536688108109. The reversal of 536688108100 is 1801886635.

The square root of 536688108100 is 732590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 193207718916 + 343480389184 = 439554^2 + 586072^2 .

It is a super-2 number, since 2×536688108100² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (536688108109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7289271 + ... + 7362529.

Almost surely, 2^536688108100 is an apocalyptic number.

536688108100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

536688108100 is the 732590-th square number.

It is an amenable number.

536688108100 is an abundant number, since it is smaller than the sum of its proper divisors (627940983897).

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

536688108100 is an frugal number, since it uses more digits than its factorization.

536688108100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146532 (or 73266 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The spelling of 536688108100 in words is "five hundred thirty-six billion, six hundred eighty-eight million, one hundred eight thousand, one hundred".