44240100 has 144 divisors (see below), whose sum is σ = 135991296. Its totient is φ = 11088000.

The previous prime is 44240089. The next prime is 44240111. The reversal of 44240100 is 104244.

It is an interprime number because it is at equal distance from previous prime (44240089) and next prime (44240111).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 44240100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 623065 + ... + 623135.

It is an arithmetic number, because the mean of its divisors is an integer number (944384).

Almost surely, 2^44240100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67995648).

44240100 is an abundant number, since it is smaller than the sum of its proper divisors (91751196).

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

44240100 is a wasteful number, since it uses less digits than its factorization.

44240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 44240100 is about 6651.3231766318. The cubic root of 44240100 is about 353.6758179968.

Adding to 44240100 its reverse (104244), we get a palindrome (44344344).

The spelling of 44240100 in words is "forty-four million, two hundred forty thousand, one hundred".