105445440 has 336 divisors, whose sum is σ = 399409920. Its totient is φ = 25436160.

The previous prime is 105445429. The next prime is 105445447. The reversal of 105445440 is 44544501.

It is a super-2 number, since 2×105445440² = 22237481633587200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105445447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2243497 + ... + 2243543.

It is an arithmetic number, because the mean of its divisors is an integer number (1188720).

Almost surely, 2^105445440 is an apocalyptic number.

105445440 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 105445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199704960).

105445440 is an abundant number, since it is smaller than the sum of its proper divisors (293964480).

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

105445440 is a wasteful number, since it uses less digits than its factorization.

105445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 105445440 is about 10268.6630093698. The cubic root of 105445440 is about 472.4355837271.

Adding to 105445440 its reverse (44544501), we get a palindrome (149989941).

The spelling of 105445440 in words is "one hundred five million, four hundred forty-five thousand, four hundred forty".