10291120 has 160 divisors (see below), whose sum is σ = 30855168. Its totient is φ = 3108864.

The previous prime is 10291081. The next prime is 10291129. The reversal of 10291120 is 2119201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10291094 and 10291103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10291129) 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 31 ways as a sum of consecutive naturals, for example, 218937 + ... + 218983.

Almost surely, 2^10291120 is an apocalyptic number.

10291120 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 10291120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15427584).

10291120 is an abundant number, since it is smaller than the sum of its proper divisors (20564048).

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

10291120 is a wasteful number, since it uses less digits than its factorization.

10291120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 10291120 is about 3207.9775560312. The cubic root of 10291120 is about 217.5141665146.

The spelling of 10291120 in words is "ten million, two hundred ninety-one thousand, one hundred twenty".