10375120 has 80 divisors (see below), whose sum is σ = 27998208. Its totient is φ = 3502080.

The previous prime is 10375097. The next prime is 10375129. The reversal of 10375120 is 2157301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10375129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 54225 + ... + 54415.

Almost surely, 2^10375120 is an apocalyptic number.

10375120 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 10375120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13999104).

10375120 is an abundant number, since it is smaller than the sum of its proper divisors (17623088).

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

10375120 is a wasteful number, since it uses less digits than its factorization.

10375120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 10375120 is about 3221.0433092400. The cubic root of 10375120 is about 218.1043744506.

The spelling of 10375120 in words is "ten million, three hundred seventy-five thousand, one hundred twenty".