100311123440 has 320 divisors, whose sum is σ = 274251339648. Its totient is φ = 33718272000.

The previous prime is 100311123433. The next prime is 100311123443. The reversal of 100311123440 is 44321113001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100311123443) 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, 297658952 + ... + 297659288.

Almost surely, 2^100311123440 is an apocalyptic number.

100311123440 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 100311123440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137125669824).

100311123440 is an abundant number, since it is smaller than the sum of its proper divisors (173940216208).

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

100311123440 is a wasteful number, since it uses less digits than its factorization.

100311123440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 100311123440 its reverse (44321113001), we get a palindrome (144632236441).

The spelling of 100311123440 in words is "one hundred billion, three hundred eleven million, one hundred twenty-three thousand, four hundred forty".