100520702500 has 135 divisors (see below), whose sum is σ = 234137510607. Its totient is φ = 37741632000.

The previous prime is 100520702473. The next prime is 100520702501. The reversal of 100520702500 is 5207025001.

The square root of 100520702500 is 317050.

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

It can be written as a sum of positive squares in 22 ways, for example, as 100214032356 + 306670144 = 316566^2 + 17512^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100520702501) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 269492314 + ... + 269492686.

Almost surely, 2^100520702500 is an apocalyptic number.

100520702500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100520702500 is the 317050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100520702500

100520702500 is an abundant number, since it is smaller than the sum of its proper divisors (133616808107).

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

100520702500 is an frugal number, since it uses more digits than its factorization.

100520702500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 22.

Adding to 100520702500 its reverse (5207025001), we get a palindrome (105727727501).

The spelling of 100520702500 in words is "one hundred billion, five hundred twenty million, seven hundred two thousand, five hundred".