27144100 has 27 divisors (see below), whose sum is σ = 59015971. Its totient is φ = 10836800.

The previous prime is 27144049. The next prime is 27144107. The reversal of 27144100 is 144172.

The square root of 27144100 is 5210.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3407716 + 23736384 = 1846^2 + 4872^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27144107) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 51840 + ... + 52360.

Almost surely, 2^27144100 is an apocalyptic number.

27144100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27144100 is the 5210-th square number.

It is an amenable number.

27144100 is an abundant number, since it is smaller than the sum of its proper divisors (31871871).

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

27144100 is an equidigital number, since it uses as much as digits as its factorization.

27144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The cubic root of 27144100 is about 300.5327570434.

Adding to 27144100 its reverse (144172), we get a palindrome (27288272).

The spelling of 27144100 in words is "twenty-seven million, one hundred forty-four thousand, one hundred".