100442208 has 96 divisors (see below), whose sum is σ = 283046400. Its totient is φ = 31090176.

The previous prime is 100442207. The next prime is 100442269. The reversal of 100442208 is 802244001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100442203) 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, 96153 + ... + 97191.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2^100442208 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 100442208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

100442208 is an abundant number, since it is smaller than the sum of its proper divisors (182604192).

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

100442208 is a wasteful number, since it uses less digits than its factorization.

100442208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1116 counting only the distinct ones).

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

The square root of 100442208 is about 10022.0860104072. The cubic root of 100442208 is about 464.8420598999.

Adding to 100442208 its reverse (802244001), we get a palindrome (902686209).

The spelling of 100442208 in words is "one hundred million, four hundred forty-two thousand, two hundred eight".