131727105 has 24 divisors (see below), whose sum is σ = 228953088. Its totient is φ = 70061856.

The previous prime is 131727083. The next prime is 131727109. The reversal of 131727105 is 501727131.

It is a happy number.

It is not a de Polignac number, because 131727105 - 2⁷ = 131726977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131727109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13414 + ... + 21056.

It is an arithmetic number, because the mean of its divisors is an integer number (9539712).

Almost surely, 2^131727105 is an apocalyptic number.

131727105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131727105 is a deficient number, since it is larger than the sum of its proper divisors (97225983).

131727105 is a wasteful number, since it uses less digits than its factorization.

131727105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8037 (or 8034 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 131727105 is about 11477.2429180531. The cubic root of 131727105 is about 508.8132150841.

The spelling of 131727105 in words is "one hundred thirty-one million, seven hundred twenty-seven thousand, one hundred five".