100735342144 has 56 divisors (see below), whose sum is σ = 204410828160. Its totient is φ = 49232994816.

The previous prime is 100735342133. The next prime is 100735342151. The reversal of 100735342144 is 441243537001.

It is an unprimeable number.

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, 2376367 + ... + 2418385.

It is an arithmetic number, because the mean of its divisors is an integer number (3650193360).

Almost surely, 2^100735342144 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 100735342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102205414080).

100735342144 is an abundant number, since it is smaller than the sum of its proper divisors (103675486016).

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

100735342144 is an equidigital number, since it uses as much as digits as its factorization.

100735342144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42875 (or 42865 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

Adding to 100735342144 its reverse (441243537001), we get a palindrome (541978879145).

The spelling of 100735342144 in words is "one hundred billion, seven hundred thirty-five million, three hundred forty-two thousand, one hundred forty-four".