100442784 has 144 divisors (see below), whose sum is σ = 294404544. Its totient is φ = 29952000.

The previous prime is 100442779. The next prime is 100442789. The reversal of 100442784 is 487244001.

It is an interprime number because it is at equal distance from previous prime (100442779) and next prime (100442789).

It is not an unprimeable number, because it can be changed into a prime (100442789) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 665109 + ... + 665259.

It is an arithmetic number, because the mean of its divisors is an integer number (2044476).

Almost surely, 2^100442784 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 100442784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147202272).

100442784 is an abundant number, since it is smaller than the sum of its proper divisors (193961760).

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

100442784 is a wasteful number, since it uses less digits than its factorization.

100442784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 100442784 is about 10022.1147468985. The cubic root of 100442784 is about 464.8429484656.

Adding to 100442784 its reverse (487244001), we get a palindrome (587686785).

The spelling of 100442784 in words is "one hundred million, four hundred forty-two thousand, seven hundred eighty-four".