10209900528 has 160 divisors (see below), whose sum is σ = 31092206400. Its totient is φ = 3196698624.

The previous prime is 10209900497. The next prime is 10209900529. The reversal of 10209900528 is 82500990201.

10209900528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 10209900492 and 10209900501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10209900529) 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 31 ways as a sum of consecutive naturals, for example, 4794568 + ... + 4796696.

It is an arithmetic number, because the mean of its divisors is an integer number (194326290).

Almost surely, 2^10209900528 is an apocalyptic number.

10209900528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10209900528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15546103200).

10209900528 is an abundant number, since it is smaller than the sum of its proper divisors (20882305872).

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

10209900528 is a wasteful number, since it uses less digits than its factorization.

10209900528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 10209900528 in words is "ten billion, two hundred nine million, nine hundred thousand, five hundred twenty-eight".