442102100 has 72 divisors (see below), whose sum is σ = 1082743200. Its totient is φ = 155209600.

The previous prime is 442102061. The next prime is 442102103. The reversal of 442102100 is 1201244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442102103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24971 + ... + 38829.

It is an arithmetic number, because the mean of its divisors is an integer number (15038100).

Almost surely, 2^442102100 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 442102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541371600).

442102100 is an abundant number, since it is smaller than the sum of its proper divisors (640641100).

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

442102100 is a wasteful number, since it uses less digits than its factorization.

442102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13913 (or 13906 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 442102100 is about 21026.2241022966. The cubic root of 442102100 is about 761.7998087141.

Adding to 442102100 its reverse (1201244), we get a palindrome (443303344).

The spelling of 442102100 in words is "four hundred forty-two million, one hundred two thousand, one hundred".