100185208004 has 24 divisors (see below), whose sum is σ = 203361023040. Its totient is φ = 42295673376.

The previous prime is 100185208001. The next prime is 100185208021. The reversal of 100185208004 is 400802581001.

100185208004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (100185208001) 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 7 ways as a sum of consecutive naturals, for example, 26699939 + ... + 26703690.

It is an arithmetic number, because the mean of its divisors is an integer number (8473375960).

Almost surely, 2^100185208004 is an apocalyptic number.

100185208004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100185208004 is an abundant number, since it is smaller than the sum of its proper divisors (103175815036).

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

100185208004 is a wasteful number, since it uses less digits than its factorization.

100185208004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53403707 (or 53403705 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

Adding to 100185208004 its reverse (400802581001), we get a palindrome (500987789005).

The spelling of 100185208004 in words is "one hundred billion, one hundred eighty-five million, two hundred eight thousand, four".