100144314 has 48 divisors (see below), whose sum is σ = 232569792. Its totient is φ = 31031424.

The previous prime is 100144309. The next prime is 100144339. The reversal of 100144314 is 413441001.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23427 + ... + 27369.

It is an arithmetic number, because the mean of its divisors is an integer number (4845204).

Almost surely, 2^100144314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100144314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116284896).

100144314 is an abundant number, since it is smaller than the sum of its proper divisors (132425478).

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

100144314 is a wasteful number, since it uses less digits than its factorization.

100144314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4051 (or 4048 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 100144314 is about 10007.2130985605. The cubic root of 100144314 is about 464.3820581219.

Adding to 100144314 its reverse (413441001), we get a palindrome (513585315).

The spelling of 100144314 in words is "one hundred million, one hundred forty-four thousand, three hundred fourteen".