100442600 has 48 divisors (see below), whose sum is σ = 237386220. Its totient is φ = 39513600.

The previous prime is 100442599. The next prime is 100442609. The reversal of 100442600 is 6244001.

100442600 = 1423² + 1424² + ... + 1470².

It can be written as a sum of positive squares in 6 ways, for example, as 3104644 + 97337956 = 1762^2 + 9866^2 .

It is not an unprimeable number, because it can be changed into a prime (100442609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8084 + ... + 16316.

Almost surely, 2^100442600 is an apocalyptic number.

100442600 is a gapful number since it is divisible by the number (10) 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 100442600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118693110).

100442600 is an abundant number, since it is smaller than the sum of its proper divisors (136943620).

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

100442600 is a wasteful number, since it uses less digits than its factorization.

100442600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8310 (or 8301 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 100442600 is about 10022.1055671949. The cubic root of 100442600 is about 464.8426646186.

Adding to 100442600 its reverse (6244001), we get a palindrome (106686601).

The spelling of 100442600 in words is "one hundred million, four hundred forty-two thousand, six hundred".