101445440 has 56 divisors (see below), whose sum is σ = 245574312. Its totient is φ = 39905280.

The previous prime is 101445431. The next prime is 101445457. The reversal of 101445440 is 44544101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 256 + 101445184 = 16^2 + 10072^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16922 + ... + 22118.

Almost surely, 2^101445440 is an apocalyptic number.

101445440 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 101445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122787156).

101445440 is an abundant number, since it is smaller than the sum of its proper divisors (144128872).

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

101445440 is an equidigital number, since it uses as much as digits as its factorization.

101445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5275 (or 5265 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 101445440 is about 10072.0127084908. The cubic root of 101445440 is about 466.3845732771.

Adding to 101445440 its reverse (44544101), we get a palindrome (145989541).

The spelling of 101445440 in words is "one hundred one million, four hundred forty-five thousand, four hundred forty".