27132105 has 96 divisors (see below), whose sum is σ = 59028480. Its totient is φ = 10333440.

The previous prime is 27132089. The next prime is 27132107. The reversal of 27132105 is 50123172.

27132105 = T₈₈₁ + T₈₈₂ + ... + T₉₄₅.

It is not a de Polignac number, because 27132105 - 2⁴ = 27132089 is a prime.

It is a super-2 number, since 2×27132105² = 1472302243462050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27132107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 195126 + ... + 195264.

It is an arithmetic number, because the mean of its divisors is an integer number (614880).

Almost surely, 2^27132105 is an apocalyptic number.

It is an amenable number.

27132105 is an abundant number, since it is smaller than the sum of its proper divisors (31896375).

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

27132105 is a wasteful number, since it uses less digits than its factorization.

27132105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 27132105 is about 5208.8487211667. The cubic root of 27132105 is about 300.4884819640.

Adding to 27132105 its reverse (50123172), we get a palindrome (77255277).

The spelling of 27132105 in words is "twenty-seven million, one hundred thirty-two thousand, one hundred five".