10380084 has 96 divisors (see below), whose sum is σ = 29804544. Its totient is φ = 2766720.

The previous prime is 10380077. The next prime is 10380121. The reversal of 10380084 is 48008301.

10380084 = 140² + 141² + ... + 323².

10380084 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10380084² = 215492287694112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39337 + ... + 39599.

It is an arithmetic number, because the mean of its divisors is an integer number (310464).

Almost surely, 2^10380084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10380084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14902272).

10380084 is an abundant number, since it is smaller than the sum of its proper divisors (19424460).

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

10380084 is a wasteful number, since it uses less digits than its factorization.

10380084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 10380084 is about 3221.8137748790. The cubic root of 10380084 is about 218.1391530842.

Adding to 10380084 its reverse (48008301), we get a palindrome (58388385).

The spelling of 10380084 in words is "ten million, three hundred eighty thousand, eighty-four".