10105344 has 160 divisors (see below), whose sum is σ = 32408640. Its totient is φ = 3096576.

The previous prime is 10105309. The next prime is 10105367. The reversal of 10105344 is 44350101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234987 + ... + 235029.

It is an arithmetic number, because the mean of its divisors is an integer number (202554).

Almost surely, 2^10105344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10105344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16204320).

10105344 is an abundant number, since it is smaller than the sum of its proper divisors (22303296).

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

10105344 is an equidigital number, since it uses as much as digits as its factorization.

10105344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10105344 is about 3178.8903724413. The cubic root of 10105344 is about 216.1973504981.

Adding to 10105344 its reverse (44350101), we get a palindrome (54455445).

The spelling of 10105344 in words is "ten million, one hundred five thousand, three hundred forty-four".