1000442100 has 72 divisors (see below), whose sum is σ = 3308135488. Its totient is φ = 228672000.

The previous prime is 1000442071. The next prime is 1000442117. The reversal of 1000442100 is 12440001.

1000442100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236101 + ... + 240300.

Almost surely, 2^1000442100 is an apocalyptic number.

1000442100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000442100 is an abundant number, since it is smaller than the sum of its proper divisors (2307693388).

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

1000442100 is a wasteful number, since it uses less digits than its factorization.

1000442100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476425 (or 476418 counting only the distinct ones).

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

The square root of 1000442100 is about 31629.7660440288. The cubic root of 1000442100 is about 1000.1473449551.

Adding to 1000442100 its reverse (12440001), we get a palindrome (1012882101).

The spelling of 1000442100 in words is "one billion, four hundred forty-two thousand, one hundred".