27105144 has 64 divisors (see below), whose sum is σ = 74874240. Its totient is φ = 8108160.

The previous prime is 27105097. The next prime is 27105163. The reversal of 27105144 is 44150172.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21294 + ... + 22530.

It is an arithmetic number, because the mean of its divisors is an integer number (1169910).

Almost surely, 2^27105144 is an apocalyptic number.

27105144 is a gapful number since it is divisible by the number (24) 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 27105144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37437120).

27105144 is an abundant number, since it is smaller than the sum of its proper divisors (47769096).

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

27105144 is a wasteful number, since it uses less digits than its factorization.

27105144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 27105144 is about 5206.2600780215. The cubic root of 27105144 is about 300.3889178141.

The spelling of 27105144 in words is "twenty-seven million, one hundred five thousand, one hundred forty-four".