10210000 has 50 divisors (see below), whose sum is σ = 24743642. Its totient is φ = 4080000.

The previous prime is 10209971. The next prime is 10210007. The reversal of 10210000 is 1201.

10210000 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 5 ways, for example, as 3594816 + 6615184 = 1896^2 + 2572^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9490 + ... + 10510.

Almost surely, 2^10210000 is an apocalyptic number.

10210000 is a gapful number since it is divisible by the number (10) 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 10210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12371821).

10210000 is an abundant number, since it is smaller than the sum of its proper divisors (14533642).

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

10210000 is an equidigital number, since it uses as much as digits as its factorization.

10210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 10210000 is about 3195.3090617341. The cubic root of 10210000 is about 216.9411380199.

Adding to 10210000 its reverse (1201), we get a palindrome (10211201).

The spelling of 10210000 in words is "ten million, two hundred ten thousand".