10645200 has 90 divisors (see below), whose sum is σ = 36954294. Its totient is φ = 2837760.

The previous prime is 10645181. The next prime is 10645207. The reversal of 10645200 is 254601.

It is a happy number.

10645200 is a `hidden beast` number, since 1 + 0 + 645 + 20 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 69696 + 10575504 = 264^2 + 3252^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×10645200² = 226640566080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10645207) 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 17 ways as a sum of consecutive naturals, for example, 2122 + ... + 5078.

Almost surely, 2^10645200 is an apocalyptic number.

10645200 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 10645200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18477147).

10645200 is an abundant number, since it is smaller than the sum of its proper divisors (26309094).

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

10645200 is a wasteful number, since it uses less digits than its factorization.

10645200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10645200 is about 3262.6982698374. The cubic root of 10645200 is about 219.9807145629.

Adding to 10645200 its reverse (254601), we get a palindrome (10899801).

The spelling of 10645200 in words is "ten million, six hundred forty-five thousand, two hundred".