100004083200 has 1440 divisors, whose sum is σ = 441688515840. Its totient is φ = 21100953600.

The previous prime is 100004083189. The next prime is 100004083241. The reversal of 100004083200 is 2380400001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 934617547 + ... + 934617653.

It is an arithmetic number, because the mean of its divisors is an integer number (306728136).

Almost surely, 2^100004083200 is an apocalyptic number.

100004083200 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 100004083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220844257920).

100004083200 is an abundant number, since it is smaller than the sum of its proper divisors (341684432640).

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

100004083200 is a wasteful number, since it uses less digits than its factorization.

100004083200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100004083200 its reverse (2380400001), we get a palindrome (102384483201).

The spelling of 100004083200 in words is "one hundred billion, four million, eighty-three thousand, two hundred".