10001082 has 48 divisors (see below), whose sum is σ = 24770880. Its totient is φ = 2635776.

The previous prime is 10001081. The next prime is 10001093. The reversal of 10001082 is 28010001.

It is a happy number.

10001082 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

10001082 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

It is not an unprimeable number, because it can be changed into a prime (10001081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6394 + ... + 7802.

It is an arithmetic number, because the mean of its divisors is an integer number (516060).

Almost surely, 2^10001082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12385440).

10001082 is an abundant number, since it is smaller than the sum of its proper divisors (14769798).

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

10001082 is a wasteful number, since it uses less digits than its factorization.

10001082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 10001082 is about 3162.4487347624. The cubic root of 10001082 is about 215.4512390507.

Adding to 10001082 its reverse (28010001), we get a palindrome (38011083).

The spelling of 10001082 in words is "ten million, one thousand, eighty-two".