105530440 has 64 divisors (see below), whose sum is σ = 249298560. Its totient is φ = 40128000.

The previous prime is 105530437. The next prime is 105530443. The reversal of 105530440 is 44035501.

It is an interprime number because it is at equal distance from previous prime (105530437) and next prime (105530443).

It is a super-2 number, since 2×105530440² = 22273347533187200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105530443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230692 + ... + 231148.

It is an arithmetic number, because the mean of its divisors is an integer number (3895290).

Almost surely, 2^105530440 is an apocalyptic number.

105530440 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 105530440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124649280).

105530440 is an abundant number, since it is smaller than the sum of its proper divisors (143768120).

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

105530440 is a wasteful number, since it uses less digits than its factorization.

105530440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 105530440 is about 10272.8009812319. The cubic root of 105530440 is about 472.5624937171.

Adding to 105530440 its reverse (44035501), we get a palindrome (149565941).

The spelling of 105530440 in words is "one hundred five million, five hundred thirty thousand, four hundred forty".