27942100 has 18 divisors (see below), whose sum is σ = 60634574. Its totient is φ = 11176800.

The previous prime is 27942091. The next prime is 27942107. The reversal of 27942100 is 124972.

It can be written as a sum of positive squares in 3 ways, for example, as 3794704 + 24147396 = 1948^2 + 4914^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27942107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139611 + ... + 139810.

Almost surely, 2^27942100 is an apocalyptic number.

27942100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27942100 is an abundant number, since it is smaller than the sum of its proper divisors (32692474).

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

27942100 is a wasteful number, since it uses less digits than its factorization.

27942100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279435 (or 279428 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 27942100 is about 5286.0287551242. The cubic root of 27942100 is about 303.4494450089.

The spelling of 27942100 in words is "twenty-seven million, nine hundred forty-two thousand, one hundred".