106135271 has 16 divisors (see below), whose sum is σ = 121851648. Its totient is φ = 92264920.

The previous prime is 106135261. The next prime is 106135279. The reversal of 106135271 is 172531601.

It is not a de Polignac number, because 106135271 - 2⁶ = 106135207 is a prime.

It is a super-2 number, since 2×106135271² = 22529391500486882, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106135271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106135279) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28880 + ... + 32346.

It is an arithmetic number, because the mean of its divisors is an integer number (7615728).

Almost surely, 2^106135271 is an apocalyptic number.

106135271 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106135271 is a deficient number, since it is larger than the sum of its proper divisors (15716377).

106135271 is an equidigital number, since it uses as much as digits as its factorization.

106135271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3523 (or 3501 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 106135271 is about 10302.1973869656. The cubic root of 106135271 is about 473.4635801170.

Adding to 106135271 its reverse (172531601), we get a palindrome (278666872).

The spelling of 106135271 in words is "one hundred six million, one hundred thirty-five thousand, two hundred seventy-one".