100144000000 has 308 divisors, whose sum is σ = 273462905880. Its totient is φ = 36352000000.

The previous prime is 100143999913. The next prime is 100144000001. The reversal of 100144000000 is 441001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (100144000001) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 175999716 + ... + 176000284.

Almost surely, 2^100144000000 is an apocalyptic number.

100144000000 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 100144000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136731452940).

100144000000 is an abundant number, since it is smaller than the sum of its proper divisors (173318905880).

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

100144000000 is an frugal number, since it uses more digits than its factorization.

100144000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100144000000 its reverse (441001), we get a palindrome (100144441001).

It can be divided in two parts, 100 and 144000000, that multiplied together give a square (14400000000 = 120000²).

The spelling of 100144000000 in words is "one hundred billion, one hundred forty-four million", and thus it is an aban number.