10091120 has 80 divisors (see below), whose sum is σ = 26164992. Its totient is φ = 3594240.

The previous prime is 10091113. The next prime is 10091129. The reversal of 10091120 is 2119001.

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

It is a junction number, because it is equal to n+sod(n) for n = 10091095 and 10091104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10091129) 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, 32084 + ... + 32396.

Almost surely, 2^10091120 is an apocalyptic number.

10091120 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 10091120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13082496).

10091120 is an abundant number, since it is smaller than the sum of its proper divisors (16073872).

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

10091120 is a wasteful number, since it uses less digits than its factorization.

10091120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 10091120 is about 3176.6523259557. The cubic root of 10091120 is about 216.0958650829.

The spelling of 10091120 in words is "ten million, ninety-one thousand, one hundred twenty".