131105105 has 16 divisors (see below), whose sum is σ = 166852224. Its totient is φ = 98553600.

The previous prime is 131105101. The next prime is 131105119. The reversal of 131105105 is 501501131.

It is not a de Polignac number, because 131105105 - 2² = 131105101 is a prime.

It is a super-2 number, since 2×131105105² = 34377097114122050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131105101) 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 15 ways as a sum of consecutive naturals, for example, 89630 + ... + 91080.

It is an arithmetic number, because the mean of its divisors is an integer number (10428264).

Almost surely, 2^131105105 is an apocalyptic number.

It is an amenable number.

131105105 is a deficient number, since it is larger than the sum of its proper divisors (35747119).

131105105 is a wasteful number, since it uses less digits than its factorization.

131105105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536.

The product of its (nonzero) digits is 75, while the sum is 17.

The square root of 131105105 is about 11450.1137548934. The cubic root of 131105105 is about 508.0110990714.

Adding to 131105105 its reverse (501501131), we get a palindrome (632606236).

The spelling of 131105105 in words is "one hundred thirty-one million, one hundred five thousand, one hundred five".