100641062144 has 72 divisors (see below), whose sum is σ = 229660962048. Its totient is φ = 43118069760.

The previous prime is 100641062117. The next prime is 100641062161. The reversal of 100641062144 is 441260146001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7198649 + ... + 7212615.

It is an arithmetic number, because the mean of its divisors is an integer number (3189735584).

Almost surely, 2^100641062144 is an apocalyptic number.

100641062144 is a gapful number since it is divisible by the number (14) 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 100641062144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114830481024).

100641062144 is an abundant number, since it is smaller than the sum of its proper divisors (129019899904).

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

100641062144 is an equidigital number, since it uses as much as digits as its factorization.

100641062144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18011 (or 17997 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 100641062144 in words is "one hundred billion, six hundred forty-one million, sixty-two thousand, one hundred forty-four".