100442448 has 60 divisors (see below), whose sum is σ = 282253140. Its totient is φ = 33343488.

The previous prime is 100442437. The next prime is 100442467. The reversal of 100442448 is 844244001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 29680704 + 70761744 = 5448^2 + 8412^2 .

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 11 ways as a sum of consecutive naturals, for example, 37440 + ... + 40032.

It is an arithmetic number, because the mean of its divisors is an integer number (4704219).

Almost surely, 2^100442448 is an apocalyptic number.

100442448 is a gapful number since it is divisible by the number (18) 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 100442448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141126570).

100442448 is an abundant number, since it is smaller than the sum of its proper divisors (181810692).

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

100442448 is a wasteful number, since it uses less digits than its factorization.

100442448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 100442448 is about 10022.0979839553. The cubic root of 100442448 is about 464.8424301360.

Adding to 100442448 its reverse (844244001), we get a palindrome (944686449).

The spelling of 100442448 in words is "one hundred million, four hundred forty-two thousand, four hundred forty-eight".