10109440 has 80 divisors (see below), whose sum is σ = 26516160. Its totient is φ = 3665920.

The previous prime is 10109431. The next prime is 10109453. The reversal of 10109440 is 4490101.

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

It is a super-2 number, since 2×10109440² = 204401554227200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27981 + ... + 28339.

It is an arithmetic number, because the mean of its divisors is an integer number (331452).

Almost surely, 2^10109440 is an apocalyptic number.

10109440 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 10109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13258080).

10109440 is an abundant number, since it is smaller than the sum of its proper divisors (16406720).

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

10109440 is an equidigital number, since it uses as much as digits as its factorization.

10109440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 10109440 is about 3179.5345571325. The cubic root of 10109440 is about 216.2265569829.

Adding to 10109440 its reverse (4490101), we get a palindrome (14599541).

The spelling of 10109440 in words is "ten million, one hundred nine thousand, four hundred forty".