10089120 has 48 divisors (see below), whose sum is σ = 31782240. Its totient is φ = 2690304.

The previous prime is 10089103. The next prime is 10089127. The reversal of 10089120 is 2198001.

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

It is not an unprimeable number, because it can be changed into a prime (10089127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10030 + ... + 10989.

It is an arithmetic number, because the mean of its divisors is an integer number (662130).

Almost surely, 2^10089120 is an apocalyptic number.

10089120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10089120 is an abundant number, since it is smaller than the sum of its proper divisors (21693120).

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

10089120 is a wasteful number, since it uses less digits than its factorization.

10089120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21037 (or 21029 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 10089120 is about 3176.3375135524. The cubic root of 10089120 is about 216.0815878343.

The spelling of 10089120 in words is "ten million, eighty-nine thousand, one hundred twenty".