10506210 has 128 divisors (see below), whose sum is σ = 30965760. Its totient is φ = 2246400.

The previous prime is 10506191. The next prime is 10506211. The reversal of 10506210 is 1260501.

It is a super-2 number, since 2×10506210² = 220760897128200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10506210.

It is not an unprimeable number, because it can be changed into a prime (10506211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132951 + ... + 133029.

It is an arithmetic number, because the mean of its divisors is an integer number (241920).

Almost surely, 2^10506210 is an apocalyptic number.

10506210 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 10506210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15482880).

10506210 is an abundant number, since it is smaller than the sum of its proper divisors (20459550).

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

10506210 is a wasteful number, since it uses less digits than its factorization.

10506210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 10506210 is about 3241.3284313688. The cubic root of 10506210 is about 219.0191180324.

Adding to 10506210 its reverse (1260501), we get a palindrome (11766711).

It can be divided in two parts, 1050 and 6210, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 10506210 in words is "ten million, five hundred six thousand, two hundred ten".