10002912 has 48 divisors (see below), whose sum is σ = 27170640. Its totient is φ = 3218432.

The previous prime is 10002887. The next prime is 10002929. The reversal of 10002912 is 21920001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 10002891 and 10002900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 988 + ... + 4580.

It is an arithmetic number, because the mean of its divisors is an integer number (566055).

Almost surely, 2^10002912 is an apocalyptic number.

10002912 is a gapful number since it is divisible by the number (12) 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 10002912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13585320).

10002912 is an abundant number, since it is smaller than the sum of its proper divisors (17167728).

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

10002912 is a wasteful number, since it uses less digits than its factorization.

10002912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3635 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 10002912 is about 3162.7380542814. The cubic root of 10002912 is about 215.4643793530.

Adding to 10002912 its reverse (21920001), we get a palindrome (31922913).

The spelling of 10002912 in words is "ten million, two thousand, nine hundred twelve".