27042100 has 18 divisors (see below), whose sum is σ = 58681574. Its totient is φ = 10816800.

The previous prime is 27042097. The next prime is 27042101. The reversal of 27042100 is 124072.

It can be written as a sum of positive squares in 3 ways, for example, as 2062096 + 24980004 = 1436^2 + 4998^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27042101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 135111 + ... + 135310.

Almost surely, 2^27042100 is an apocalyptic number.

27042100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27042100 is an abundant number, since it is smaller than the sum of its proper divisors (31639474).

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

27042100 is a wasteful number, since it uses less digits than its factorization.

27042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270435 (or 270428 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 27042100 is about 5200.2019191566. The cubic root of 27042100 is about 300.1558449531.

Adding to 27042100 its reverse (124072), we get a palindrome (27166172).

The spelling of 27042100 in words is "twenty-seven million, forty-two thousand, one hundred".