10288044900 has 675 divisors, whose sum is σ = 40670858921. Its totient is φ = 2249311680.

The previous prime is 10288044883. The next prime is 10288044917. The reversal of 10288044900 is 944088201.

The square root of 10288044900 is 101430.

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

10288044900 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 (10288044883) and next prime (10288044917).

It can be written as a sum of positive squares in only one way, i.e., 3703696164 + 6584348736 = 60858^2 + 81144^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 224 ways as a sum of consecutive naturals, for example, 447306289 + ... + 447306311.

Almost surely, 2^10288044900 is an apocalyptic number.

10288044900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10288044900 is the 101430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10288044900

10288044900 is an abundant number, since it is smaller than the sum of its proper divisors (30382814021).

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

10288044900 is an equidigital number, since it uses as much as digits as its factorization.

10288044900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Multiplying 10288044900 by its sum of digits (36), we get a square (370369616400 = 608580²).

10288044900 divided by its sum of digits (36) gives a square (285779025 = 16905²).

The spelling of 10288044900 in words is "ten billion, two hundred eighty-eight million, forty-four thousand, nine hundred".