100470309242880 has 384 divisors, whose sum is σ = 322138957271040. Its totient is φ = 26732775014400.

The previous prime is 100470309242789. The next prime is 100470309242887. The reversal of 100470309242880 is 88242903074001.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (100470309242887) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 49566012427 + ... + 49566014453.

It is an arithmetic number, because the mean of its divisors is an integer number (838903534560).

Almost surely, 2^{100470309242880} is an apocalyptic number.

100470309242880 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 100470309242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161069478635520).

100470309242880 is an abundant number, since it is smaller than the sum of its proper divisors (221668648028160).

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

100470309242880 is a wasteful number, since it uses less digits than its factorization.

100470309242880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4835 (or 4815 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 100470309242880 in words is "one hundred trillion, four hundred seventy billion, three hundred nine million, two hundred forty-two thousand, eight hundred eighty".