100330752000 has 192 divisors, whose sum is σ = 333821779200. Its totient is φ = 26754662400.

The previous prime is 100330751981. The next prime is 100330752017. The reversal of 100330752000 is 257033001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 702681 + ... + 833319.

It is an arithmetic number, because the mean of its divisors is an integer number (1738655100).

Almost surely, 2^100330752000 is an apocalyptic number.

100330752000 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 100330752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166910889600).

100330752000 is an abundant number, since it is smaller than the sum of its proper divisors (233491027200).

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

100330752000 is an equidigital number, since it uses as much as digits as its factorization.

100330752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130679 (or 130649 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

Adding to 100330752000 its reverse (257033001), we get a palindrome (100587785001).

The spelling of 100330752000 in words is "one hundred billion, three hundred thirty million, seven hundred fifty-two thousand".