10504200100 has 81 divisors (see below), whose sum is σ = 23511700233. Its totient is φ = 4073362560.

The previous prime is 10504200079. The next prime is 10504200121. The reversal of 10504200100 is 100240501.

The square root of 10504200100 is 102490.

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

10504200100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10504200079) and next prime (10504200121).

It can be written as a sum of positive squares in 13 ways, for example, as 5714452836 + 4789747264 = 75594^2 + 69208^2 .

It is a super-2 number, since 2×10504200100² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37921162 + ... + 37921438.

Almost surely, 2^10504200100 is an apocalyptic number.

10504200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10504200100 is the 102490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10504200100

10504200100 is an abundant number, since it is smaller than the sum of its proper divisors (13007500133).

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

10504200100 is an equidigital number, since it uses as much as digits as its factorization.

10504200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

Adding to 10504200100 its reverse (100240501), we get a palindrome (10604440601).

The spelling of 10504200100 in words is "ten billion, five hundred four million, two hundred thousand, one hundred".