100145144 has 32 divisors (see below), whose sum is σ = 207325440. Its totient is φ = 44968800.

The previous prime is 100145141. The next prime is 100145153. The reversal of 100145144 is 441541001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100145141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 449 + ... + 14159.

It is an arithmetic number, because the mean of its divisors is an integer number (6478920).

Almost surely, 2^100145144 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 100145144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103662720).

100145144 is an abundant number, since it is smaller than the sum of its proper divisors (107180296).

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

100145144 is a wasteful number, since it uses less digits than its factorization.

100145144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13811 (or 13807 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 100145144 is about 10007.2545685617. The cubic root of 100145144 is about 464.3833410572.

Adding to 100145144 its reverse (441541001), we get a palindrome (541686145).

The spelling of 100145144 in words is "one hundred million, one hundred forty-five thousand, one hundred forty-four".