100624441164 has 192 divisors, whose sum is σ = 265243507200. Its totient is φ = 29477210112.

The previous prime is 100624441163. The next prime is 100624441207. The reversal of 100624441164 is 461144426001.

It is not an unprimeable number, because it can be changed into a prime (100624441163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110941599 + ... + 110942505.

It is an arithmetic number, because the mean of its divisors is an integer number (1381476600).

Almost surely, 2^100624441164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100624441164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132621753600).

100624441164 is an abundant number, since it is smaller than the sum of its proper divisors (164619066036).

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

100624441164 is a wasteful number, since it uses less digits than its factorization.

100624441164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 100624441164 its reverse (461144426001), we get a palindrome (561768867165).

The spelling of 100624441164 in words is "one hundred billion, six hundred twenty-four million, four hundred forty-one thousand, one hundred sixty-four".