10091920 has 40 divisors (see below), whose sum is σ = 23715000. Its totient is φ = 3993600.

The previous prime is 10091911. The next prime is 10091923. The reversal of 10091920 is 2919001.

It can be written as a sum of positive squares in 4 ways, for example, as 2930944 + 7160976 = 1712^2 + 2676^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10091891 and 10091900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10091923) 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 7 ways as a sum of consecutive naturals, for example, 7456 + ... + 8704.

It is an arithmetic number, because the mean of its divisors is an integer number (592875).

Almost surely, 2^10091920 is an apocalyptic number.

10091920 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 10091920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11857500).

10091920 is an abundant number, since it is smaller than the sum of its proper divisors (13623080).

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

10091920 is a wasteful number, since it uses less digits than its factorization.

10091920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 22.

The square root of 10091920 is about 3176.7782421818. The cubic root of 10091920 is about 216.1015754541.

It can be divided in two parts, 10091 and 920, that added together give a palindrome (11011).

The spelling of 10091920 in words is "ten million, ninety-one thousand, nine hundred twenty".