10091844 has 72 divisors (see below), whose sum is σ = 30451680. Its totient is φ = 2881872.

The previous prime is 10091839. The next prime is 10091899. The reversal of 10091844 is 44819001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4339 + ... + 6245.

It is an arithmetic number, because the mean of its divisors is an integer number (422940).

Almost surely, 2^10091844 is an apocalyptic number.

10091844 is a gapful number since it is divisible by the number (14) 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 10091844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15225840).

10091844 is an abundant number, since it is smaller than the sum of its proper divisors (20359836).

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

10091844 is a wasteful number, since it uses less digits than its factorization.

10091844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10091844 is about 3176.7662803549. The cubic root of 10091844 is about 216.1010329818.

The spelling of 10091844 in words is "ten million, ninety-one thousand, eight hundred forty-four".