106131105 has 24 divisors (see below), whose sum is σ = 185190720. Its totient is φ = 56224800.

The previous prime is 106131089. The next prime is 106131107. The reversal of 106131105 is 501131601.

It is not a de Polignac number, because 106131105 - 2⁴ = 106131089 is a prime.

It is a super-2 number, since 2×106131105² = 22527622897042050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106131107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1015 + ... + 14604.

It is an arithmetic number, because the mean of its divisors is an integer number (7716280).

Almost surely, 2^106131105 is an apocalyptic number.

106131105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106131105 is a deficient number, since it is larger than the sum of its proper divisors (79059615).

106131105 is a wasteful number, since it uses less digits than its factorization.

106131105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15781 (or 15778 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 106131105 is about 10301.9951951066. The cubic root of 106131105 is about 473.4573852707.

Adding to 106131105 its reverse (501131601), we get a palindrome (607262706).

The spelling of 106131105 in words is "one hundred six million, one hundred thirty-one thousand, one hundred five".