103575836224 has 105 divisors (see below), whose sum is σ = 240066990401. Its totient is φ = 44335576320.

The previous prime is 103575836207. The next prime is 103575836227. The reversal of 103575836224 is 422638575301.

The square root of 103575836224 is 321832.

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., 28280476224 + 75295360000 = 168168^2 + 274400^2 .

It is a super-3 number, since 3×103575836224³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (103575836227) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 126157734 + ... + 126158554.

Almost surely, 2^103575836224 is an apocalyptic number.

103575836224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

103575836224 is the 321832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103575836224

103575836224 is an abundant number, since it is smaller than the sum of its proper divisors (136491154177).

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

103575836224 is an frugal number, since it uses more digits than its factorization.

103575836224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 46.

The spelling of 103575836224 in words is "one hundred three billion, five hundred seventy-five million, eight hundred thirty-six thousand, two hundred twenty-four".