100414400 has 84 divisors (see below), whose sum is σ = 250015248. Its totient is φ = 39690240.

The previous prime is 100414387. The next prime is 100414423. The reversal of 100414400 is 4414001.

100414400 is nontrivially palindromic in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154877 + ... + 155523.

It is an arithmetic number, because the mean of its divisors is an integer number (2976372).

Almost surely, 2^100414400 is an apocalyptic number.

100414400 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 100414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125007624).

100414400 is an abundant number, since it is smaller than the sum of its proper divisors (149600848).

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

100414400 is an equidigital number, since it uses as much as digits as its factorization.

100414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 100414400 is about 10020.6985784425. The cubic root of 100414400 is about 464.7991578791.

Adding to 100414400 its reverse (4414001), we get a palindrome (104828401).

It can be divided in two parts, 10041 and 4400, that added together give a palindrome (14441).

The spelling of 100414400 in words is "one hundred million, four hundred fourteen thousand, four hundred".