100442232000 has 672 divisors, whose sum is σ = 404704954368. Its totient is φ = 23558400000.

The previous prime is 100442231977. The next prime is 100442232071. The reversal of 100442232000 is 232244001.

100442232000 is a `hidden beast` number, since 1 + 0 + 0 + 442 + 23 + 200 + 0 = 666.

It is a super-3 number, since 3×100442232000³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24549955 + ... + 24554045.

Almost surely, 2^100442232000 is an apocalyptic number.

100442232000 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 100442232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202352477184).

100442232000 is an abundant number, since it is smaller than the sum of its proper divisors (304262722368).

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

100442232000 is a wasteful number, since it uses less digits than its factorization.

100442232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 100442232000 its reverse (232244001), we get a palindrome (100674476001).

The spelling of 100442232000 in words is "one hundred billion, four hundred forty-two million, two hundred thirty-two thousand".