10603600 has 90 divisors (see below), whose sum is σ = 29689134. Its totient is φ = 3628800.

The previous prime is 10603591. The next prime is 10603601. The reversal of 10603600 is 630601.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 414736 + 10188864 = 644^2 + 3192^2 .

It is a super-2 number, since 2×10603600² = 224872665920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10603601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19330 + ... + 19870.

Almost surely, 2^10603600 is an apocalyptic number.

10603600 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 10603600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14844567).

10603600 is an abundant number, since it is smaller than the sum of its proper divisors (19085534).

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

10603600 is a wasteful number, since it uses less digits than its factorization.

10603600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 10603600 is about 3256.3169378916. The cubic root of 10603600 is about 219.6937888681.

The spelling of 10603600 in words is "ten million, six hundred three thousand, six hundred".