101441424 has 80 divisors (see below), whose sum is σ = 309186560. Its totient is φ = 28045440.

The previous prime is 101441423. The next prime is 101441441. The reversal of 101441424 is 424144101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 101441424.

It is not an unprimeable number, because it can be changed into a prime (101441423) 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, 5547 + ... + 15285.

It is an arithmetic number, because the mean of its divisors is an integer number (3864832).

Almost surely, 2^101441424 is an apocalyptic number.

101441424 is a gapful number since it is divisible by the number (14) 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 101441424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154593280).

101441424 is an abundant number, since it is smaller than the sum of its proper divisors (207745136).

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

101441424 is a wasteful number, since it uses less digits than its factorization.

101441424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9788 (or 9782 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 101441424 is about 10071.8133421941. The cubic root of 101441424 is about 466.3784188189.

Adding to 101441424 its reverse (424144101), we get a palindrome (525585525).

The spelling of 101441424 in words is "one hundred one million, four hundred forty-one thousand, four hundred twenty-four".