10382904 has 144 divisors (see below), whose sum is σ = 34234200. Its totient is φ = 2939328.

The previous prime is 10382893. The next prime is 10382917. The reversal of 10382904 is 40928301.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 35 ways as a sum of consecutive naturals, for example, 95202 + ... + 95310.

Almost surely, 2^10382904 is an apocalyptic number.

10382904 is a gapful number since it is divisible by the number (14) 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 10382904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17117100).

10382904 is an abundant number, since it is smaller than the sum of its proper divisors (23851296).

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

10382904 is a wasteful number, since it uses less digits than its factorization.

10382904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10382904 is about 3222.2513868412. The cubic root of 10382904 is about 218.1589055484.

The spelling of 10382904 in words is "ten million, three hundred eighty-two thousand, nine hundred four".