100014400 has 84 divisors (see below), whose sum is σ = 260645148. Its totient is φ = 37642240.

The previous prime is 100014391. The next prime is 100014403. The reversal of 100014400 is 4410001.

It can be written as a sum of positive squares in 6 ways, for example, as 2715904 + 97298496 = 1648^2 + 9864^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100014403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25362 + ... + 29038.

Almost surely, 2^100014400 is an apocalyptic number.

100014400 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 100014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130322574).

100014400 is an abundant number, since it is smaller than the sum of its proper divisors (160630748).

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

100014400 is a wasteful number, since it uses less digits than its factorization.

100014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3716 (or 3701 counting only the distinct ones).

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

The square root of 100014400 is about 10000.7199740819. The cubic root of 100014400 is about 464.1811619183.

Adding to 100014400 its reverse (4410001), we get a palindrome (104424401).

It can be divided in two parts, 1000 and 14400, that added together give a triangular number (15400 = T₁₇₅).

The spelling of 100014400 in words is "one hundred million, fourteen thousand, four hundred".