100144115456 has 144 divisors (see below), whose sum is σ = 250817441280. Its totient is φ = 38767472640.

The previous prime is 100144115443. The next prime is 100144115459. The reversal of 100144115456 is 654511441001.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100144115459) 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 15 ways as a sum of consecutive naturals, for example, 3078605 + ... + 3110963.

Almost surely, 2^100144115456 is an apocalyptic number.

100144115456 is a gapful number since it is divisible by the number (16) 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 100144115456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125408720640).

100144115456 is an abundant number, since it is smaller than the sum of its proper divisors (150673325824).

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

100144115456 is a wasteful number, since it uses less digits than its factorization.

100144115456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32550 (or 32536 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

Adding to 100144115456 its reverse (654511441001), we get a palindrome (754655556457).

The spelling of 100144115456 in words is "one hundred billion, one hundred forty-four million, one hundred fifteen thousand, four hundred fifty-six".