10500100900 has 27 divisors (see below), whose sum is σ = 22787442769. Its totient is φ = 4199630480.

The previous prime is 10500100889. The next prime is 10500100903. The reversal of 10500100900 is 900100501.

The square root of 10500100900 is 102470.

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

10500100900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3780036324 + 6720064576 = 61482^2 + 81976^2 .

It is a super-2 number, since 2×10500100900² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10500100903) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1019577 + ... + 1029823.

Almost surely, 2^10500100900 is an apocalyptic number.

10500100900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10500100900 is the 102470-th square number.

It is an amenable number.

10500100900 is an abundant number, since it is smaller than the sum of its proper divisors (12287341869).

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

10500100900 is an frugal number, since it uses more digits than its factorization.

10500100900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20508 (or 10254 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 16.

Multiplying 10500100900 by its sum of digits (16), we get a square (168001614400 = 409880²).

The spelling of 10500100900 in words is "ten billion, five hundred million, one hundred thousand, nine hundred".