105014440 has 64 divisors (see below), whose sum is σ = 251456400. Its totient is φ = 39333888.

The previous prime is 105014411. The next prime is 105014461. The reversal of 105014440 is 44410501.

It can be written as a sum of positive squares in 8 ways, for example, as 55086084 + 49928356 = 7422^2 + 7066^2 .

It is a super-2 number, since 2×105014440² = 22056065217027200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264322 + ... + 264718.

Almost surely, 2^105014440 is an apocalyptic number.

105014440 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 105014440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125728200).

105014440 is an abundant number, since it is smaller than the sum of its proper divisors (146441960).

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

105014440 is a wasteful number, since it uses less digits than its factorization.

105014440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 105014440 is about 10247.6553415891. The cubic root of 105014440 is about 471.7910235486.

Adding to 105014440 its reverse (44410501), we get a palindrome (149424941).

It can be divided in two parts, 10501 and 4440, that added together give a palindrome (14941).

The spelling of 105014440 in words is "one hundred five million, fourteen thousand, four hundred forty".