10262500 has 36 divisors (see below), whose sum is σ = 22475124. Its totient is φ = 4100000.

The previous prime is 10262479. The next prime is 10262513. The reversal of 10262500 is 526201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 9290304 + 972196 = 3048^2 + 986^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 12090 + ... + 12910.

It is an arithmetic number, because the mean of its divisors is an integer number (624309).

Almost surely, 2^10262500 is an apocalyptic number.

10262500 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 10262500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11237562).

10262500 is an abundant number, since it is smaller than the sum of its proper divisors (12212624).

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

10262500 is an frugal number, since it uses more digits than its factorization.

10262500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 10262500 is about 3203.5136959283. The cubic root of 10262500 is about 217.3123408866.

Adding to 10262500 its reverse (526201), we get a palindrome (10788701).

The spelling of 10262500 in words is "ten million, two hundred sixty-two thousand, five hundred".