10007120 has 40 divisors (see below), whose sum is σ = 23626464. Its totient is φ = 3940992.

The previous prime is 10007087. The next prime is 10007143. The reversal of 10007120 is 2170001.

It is a tau number, because it is divible by the number of its divisors (40).

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, 4427 + ... + 6293.

Almost surely, 2^10007120 is an apocalyptic number.

10007120 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 10007120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11813232).

10007120 is an abundant number, since it is smaller than the sum of its proper divisors (13619344).

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

10007120 is a wasteful number, since it uses less digits than its factorization.

10007120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 10007120 is about 3163.4032306995. The cubic root of 10007120 is about 215.4945887893.

Adding to 10007120 its reverse (2170001), we get a palindrome (12177121).

The spelling of 10007120 in words is "ten million, seven thousand, one hundred twenty".