14400100 has 144 divisors (see below), whose sum is σ = 39372480. Its totient is φ = 4492800.

The previous prime is 14400097. The next prime is 14400101. The reversal of 14400100 is 100441.

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (14400101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271674 + ... + 271726.

It is an arithmetic number, because the mean of its divisors is an integer number (273420).

Almost surely, 2^14400100 is an apocalyptic number.

14400100 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 14400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19686240).

14400100 is an abundant number, since it is smaller than the sum of its proper divisors (24972380).

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

14400100 is a wasteful number, since it uses less digits than its factorization.

14400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 103 counting only the distinct ones).

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

The square root of 14400100 is about 3794.7463683361. The cubic root of 14400100 is about 243.2886429885.

Adding to 14400100 its reverse (100441), we get a palindrome (14500541).

The spelling of 14400100 in words is "fourteen million, four hundred thousand, one hundred".