100010304000 has 240 divisors, whose sum is σ = 360220437720. Its totient is φ = 26669260800.

The previous prime is 100010303977. The next prime is 100010304029. The reversal of 100010304000 is 403010001.

It can be written as a sum of positive squares in 4 ways, for example, as 44261427456 + 55748876544 = 210384^2 + 236112^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 489186 + ... + 662814.

Almost surely, 2^100010304000 is an apocalyptic number.

100010304000 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 100010304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180110218860).

100010304000 is an abundant number, since it is smaller than the sum of its proper divisors (260210133720).

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

100010304000 is an equidigital number, since it uses as much as digits as its factorization.

100010304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173668 (or 173639 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 100010304000 its reverse (403010001), we get a palindrome (100413314001).

The spelling of 100010304000 in words is "one hundred billion, ten million, three hundred four thousand".