100233000144 has 240 divisors, whose sum is σ = 310439630592. Its totient is φ = 30028787712.

The previous prime is 100233000139. The next prime is 100233000173. The reversal of 100233000144 is 441000332001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48026269 + ... + 48028355.

Almost surely, 2^100233000144 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 100233000144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155219815296).

100233000144 is an abundant number, since it is smaller than the sum of its proper divisors (210206630448).

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

100233000144 is a wasteful number, since it uses less digits than its factorization.

100233000144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2994 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100233000144 its reverse (441000332001), we get a palindrome (541233332145).

The spelling of 100233000144 in words is "one hundred billion, two hundred thirty-three million, one hundred forty-four", and thus it is an aban number.