10380600 has 144 divisors (see below), whose sum is σ = 35786400. Its totient is φ = 2695680.

The previous prime is 10380589. The next prime is 10380619. The reversal of 10380600 is 608301.

10380600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 131361 + ... + 131439.

Almost surely, 2^10380600 is an apocalyptic number.

10380600 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 10380600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17893200).

10380600 is an abundant number, since it is smaller than the sum of its proper divisors (25405800).

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

10380600 is a wasteful number, since it uses less digits than its factorization.

10380600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10380600 is about 3221.8938530001. The cubic root of 10380600 is about 218.1427676323.

Adding to 10380600 its reverse (608301), we get a palindrome (10988901).

The spelling of 10380600 in words is "ten million, three hundred eighty thousand, six hundred".