100311234144 has 216 divisors, whose sum is σ = 307468209384. Its totient is φ = 28608307200.

The previous prime is 100311234143. The next prime is 100311234151. The reversal of 100311234144 is 441432113001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100311234143) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 3342084 + ... + 3371964.

Almost surely, 2^100311234144 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 100311234144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153734104692).

100311234144 is an abundant number, since it is smaller than the sum of its proper divisors (207156975240).

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

100311234144 is a wasteful number, since it uses less digits than its factorization.

100311234144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29950 (or 29914 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 100311234144 its reverse (441432113001), we get a palindrome (541743347145).

The spelling of 100311234144 in words is "one hundred billion, three hundred eleven million, two hundred thirty-four thousand, one hundred forty-four".