10466500 has 72 divisors (see below), whose sum is σ = 25271064. Its totient is φ = 3784000.

The previous prime is 10466497. The next prime is 10466503. The reversal of 10466500 is 566401.

It is an interprime number because it is at equal distance from previous prime (10466497) and next prime (10466503).

It can be written as a sum of positive squares in 4 ways, for example, as 7744 + 10458756 = 88^2 + 3234^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (10466503) 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 23 ways as a sum of consecutive naturals, for example, 60414 + ... + 60586.

It is an arithmetic number, because the mean of its divisors is an integer number (350987).

Almost surely, 2^10466500 is an apocalyptic number.

10466500 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 10466500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12635532).

10466500 is an abundant number, since it is smaller than the sum of its proper divisors (14804564).

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

10466500 is a wasteful number, since it uses less digits than its factorization.

10466500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 10466500 is about 3235.1970573676. The cubic root of 10466500 is about 218.7428296969.

Subtracting from 10466500 its reverse (566401), we obtain a palindrome (9900099).

The spelling of 10466500 in words is "ten million, four hundred sixty-six thousand, five hundred".