100442100 has 108 divisors (see below), whose sum is σ = 319548992. Its totient is φ = 24340800.

The previous prime is 100442093. The next prime is 100442123. The reversal of 100442100 is 1244001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34917 + ... + 37683.

Almost surely, 2^100442100 is an apocalyptic number.

100442100 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 100442100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159774496).

100442100 is an abundant number, since it is smaller than the sum of its proper divisors (219106892).

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

100442100 is a wasteful number, since it uses less digits than its factorization.

100442100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 100442100 is about 10022.0806223059. The cubic root of 100442100 is about 464.8418932934.

Adding to 100442100 its reverse (1244001), we get a palindrome (101686101).

The spelling of 100442100 in words is "one hundred million, four hundred forty-two thousand, one hundred".