10500210 has 72 divisors (see below), whose sum is σ = 31771116. Its totient is φ = 2399040.

The previous prime is 10500187. The next prime is 10500229. The reversal of 10500210 is 1200501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8520561 + 1979649 = 2919^2 + 1407^2 .

It is a super-2 number, since 2×10500210² = 220508820088200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10500192 and 10500201.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3220 + ... + 5600.

Almost surely, 2^10500210 is an apocalyptic number.

10500210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10500210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15885558).

10500210 is an abundant number, since it is smaller than the sum of its proper divisors (21270906).

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

10500210 is a wasteful number, since it uses less digits than its factorization.

10500210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 10500210 is about 3240.4027527454. The cubic root of 10500210 is about 218.9774168244.

Adding to 10500210 its reverse (1200501), we get a palindrome (11700711).

The spelling of 10500210 in words is "ten million, five hundred thousand, two hundred ten".