10380900 has 36 divisors (see below), whose sum is σ = 30036272. Its totient is φ = 2768160.

The previous prime is 10380883. The next prime is 10380907. The reversal of 10380900 is 908301.

10380900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10380907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17002 + ... + 17601.

Almost surely, 2^10380900 is an apocalyptic number.

10380900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10380900 is an abundant number, since it is smaller than the sum of its proper divisors (19655372).

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

10380900 is a wasteful number, since it uses less digits than its factorization.

10380900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34620 (or 34613 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 10380900 is about 3221.9404091324. The cubic root of 10380900 is about 218.1448690587.

It can be divided in two parts, 103 and 80900, that added together give a triangular number (81003 = T₄₀₂).

The spelling of 10380900 in words is "ten million, three hundred eighty thousand, nine hundred".