10206500 has 48 divisors (see below), whose sum is σ = 22604400. Its totient is φ = 4025600.

The previous prime is 10206491. The next prime is 10206509. The reversal of 10206500 is 560201.

It is an interprime number because it is at equal distance from previous prime (10206491) and next prime (10206509).

It can be written as a sum of positive squares in 8 ways, for example, as 5044516 + 5161984 = 2246^2 + 2272^2 .

It is not an unprimeable number, because it can be changed into a prime (10206509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68426 + ... + 68574.

It is an arithmetic number, because the mean of its divisors is an integer number (470925).

Almost surely, 2^10206500 is an apocalyptic number.

10206500 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 10206500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11302200).

10206500 is an abundant number, since it is smaller than the sum of its proper divisors (12397900).

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

10206500 is a wasteful number, since it uses less digits than its factorization.

10206500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 10206500 is about 3194.7613369390. The cubic root of 10206500 is about 216.9163459611.

Adding to 10206500 its reverse (560201), we get a palindrome (10766701).

The spelling of 10206500 in words is "ten million, two hundred six thousand, five hundred".