144107100 has 90 divisors (see below), whose sum is σ = 467164544. Its totient is φ = 38426400.

The previous prime is 144107063. The next prime is 144107107. The reversal of 144107100 is 1701441.

144107100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144107107) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 796 + ... + 16995.

Almost surely, 2^144107100 is an apocalyptic number.

144107100 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 144107100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233582272).

144107100 is an abundant number, since it is smaller than the sum of its proper divisors (323057444).

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

144107100 is a wasteful number, since it uses less digits than its factorization.

144107100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17817 (or 17801 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 144107100 is about 12004.4616705623. The cubic root of 144107100 is about 524.2781917337.

Adding to 144107100 its reverse (1701441), we get a palindrome (145808541).

The spelling of 144107100 in words is "one hundred forty-four million, one hundred seven thousand, one hundred".