100420638560 has 384 divisors, whose sum is σ = 281940341760. Its totient is φ = 33415782400.

The previous prime is 100420638529. The next prime is 100420638569. The reversal of 100420638560 is 65836024001.

It is a self number, because there is not a number n which added to its sum of digits gives 100420638560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100420638569) 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 63 ways as a sum of consecutive naturals, for example, 153783194 + ... + 153783846.

It is an arithmetic number, because the mean of its divisors is an integer number (734219640).

Almost surely, 2^100420638560 is an apocalyptic number.

100420638560 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 100420638560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140970170880).

100420638560 is an abundant number, since it is smaller than the sum of its proper divisors (181519703200).

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

100420638560 is a wasteful number, since it uses less digits than its factorization.

100420638560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 100420638560 in words is "one hundred billion, four hundred twenty million, six hundred thirty-eight thousand, five hundred sixty".