10438900 has 36 divisors (see below), whose sum is σ = 22845760. Its totient is φ = 4140000.

The previous prime is 10438891. The next prime is 10438913. The reversal of 10438900 is 983401.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 13525 + ... + 14275.

Almost surely, 2^10438900 is an apocalyptic number.

10438900 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 10438900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11422880).

10438900 is an abundant number, since it is smaller than the sum of its proper divisors (12406860).

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

10438900 is a wasteful number, since it uses less digits than its factorization.

10438900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 10438900 is about 3230.9286590700. The cubic root of 10438900 is about 218.5503866120.

The spelling of 10438900 in words is "ten million, four hundred thirty-eight thousand, nine hundred".